and Dynamical Systems . 54 3. #govtRebatePopoverTrigger .a-icon-popover{display:none}#govtRebatePreloadContent{padding:2rem;height:100%;overflow-x:auto}.dp-apl-govt-rebate-prom-badge{background-color:#e31820;display:inline-block;color:#fff;font-weight:700;padding-top:1px;padding-left:4px;padding-right:4px}.apl_type_border_dotted{border-style:solid;border-color:#eda93a!important;background-color:#eda93a;border-radius:2px;border-width:1px;text-align:center;display:inline-block;width:35px}.apl_tip_title_m{display:inline-block}.apl_type{font-size:1.4rem;color:#fff}.apl_m_title{display:inline-block;overflow:hidden;text-overflow:ellipsis;white-space:nowrap;vertical-align:middle}.apl_non_badge{display:inline-block;margin-bottom:5px}.apl_m_atf_message{max-width:50%;display:inline-block;overflow:hidden;vertical-align:middle;white-space:nowrap;color:#0066c0!important;font-weight:700}.apl_m_atf_message_more{vertical-align:middle}.apl_trigger{cursor:pointer}.apl_redeem_hide{display:none}.apl_l_black{color:#000!important}.apl_badgeHvaCoupon_redeemed{vertical-align:top!important;padding-top:5px!important}.apl_m_atf_ajax_header{margin-left:1.4rem;margin-right:1.4rem;padding-bottom:.9rem;border-bottom:1px solid #ddd;position:relative}.apl_m_atf_ajax_header .a-spinner{position:absolute;right:.6rem;bottom:11px}.apl_m_atf_ajax_container{padding-top:0!important}.apl_redeem_hide{display:none}.apl_m_m{max-width:100%;display:inline-block;overflow:hidden;text-overflow:ellipsis;white-space:nowrap}.apl_topic{font-size:20px!important;height:25px!important;line-height:25px!important}.apl_m_font_title{color:#000;font-weight:700}.apl_m_font_message{color:#000}.apl_state_font{font-size:1.8rem!important}.apl_state_font_day{font-size:1.8rem!important;color:#B12704!important}.apl_state_font_day_expire{color:#B12704!important}.apl_state_padding form{margin-bottom:0!important}.apl_td{padding:10px 0 10px 0!important;border-style:none none dashed;border-width:1px;border-color:#ddd}.apl_td1{padding:10px 0 10px 0!important}.apl_divider{margin-bottom:12px;padding-right:15px}.apl_notice{font-size:14px;line-height:22px}.apl_column{margin-left:-15px}.apl_guide{font-weight:700;font-family:verdana,arial,helvetica,sans-serif;margin-right:.2em;font-size:120%}.apl_div_line_height{margin-top:.6rem!important}.apl_image_ul{display:table;width:100%;height:70px;text-align:center;margin:13px 0 13px 0}.apl_image_ul li{list-style:none;display:table-cell;vertical-align:middle}.apl_image_div{width:70px;height:70px;display:inline-block;position:relative}.apl_image_div img{position:absolute;margin:auto;left:0;right:0;top:0;bottom:0}.apl_image_left{text-align:right}.apl_image_bundle{width:50px;text-align:center;margin:0 10px 0 10px;font-weight:700;color:#A5A3A3}.apl_image_right{text-align:left}.apl_m_atf_message{color:#0066c0!important}.apl_m_font_title{color:#000}.apl_m_font_message{color:#000}.dp-apl-govt-rebate-prom-section{padding-bottom:10px}#govtRebateLoaderDiv{margin:auto;left:0;right:0;position:fixed} .pads-primary-offer-container .pads-cba{border-radius:6px 6px 6px 6px;color:#000;font-size:11px;margin:0 auto;padding:0 5px;width:172px}.pads-primary-offer-container .pads-cba img{margin-top:3px}.pads-primary-offer-container .pads-price{color:#900000;font-family:Arial;font-size:13px;font-style:normal;font-weight:700;margin:0;text-decoration:none}.pads-primary-offer-container .pads-ship{color:#888;font-family:Arial;font-size:13px;font-style:normal;font-weight:400;text-decoration:none}.pads-primary-offer-container .pads-availability{color:#D85C3A;font-family:Arial;font-size:13px;font-style:normal;font-weight:700;margin:0;text-decoration:none}.pads-primary-offer-container .pads-merchant{color:#333;font-family:Arial;font-size:13px;font-style:normal;font-weight:700;margin:0;text-decoration:none}.pads-primary-offer-container .pads-external-link:hover{text-decoration:none}.pads-primary-offer-container #pa_buybox_merchant_name{word-break:break-all}.pads-primary-offer-container #pa_buybox_merchant_name #pa_buybox_display_url{word-break:break-all;white-space:normal}.pads-availability-title{color:#D85C3A;font-family:Arial;font-size:16px;font-style:normal;font-weight:700;text-decoration:none}.pads-availability-title a{color:#05A;font-size:13px;font-weight:400}.pads-availability-disclaimer{color:#888;font-family:Arial;font-size:12px;font-style:normal;font-weight:400;margin-top:10px;text-decoration:none}.pads-feedback{color:#888;font-family:Arial;font-size:12px;font-style:normal;font-weight:400;text-decoration:none}.pads-feedback a{color:#05A;font-size:13px}.pads-crp-description p{font-size:11px;margin:2px 0 4px;padding:0}.pads-crp-tabset{margin:0;padding:1px 0 0;position:absolute;width:210px}.pads-crp-tabset .pads-crp-taboff{background-color:#EFEFEF;border:1px solid #A1A1A1;margin:-1px 0 0 12px;padding:0;width:262px}.pads-crp-tabset .pads-crp-tabon{border-color:#363636 #FFF #363636 #363636;border-style:solid;border-width:1px;margin:-1px 2px 1px;padding:0;width:272px}.pads-crp-tabset a{color:#000;cursor:pointer;display:block;text-decoration:none}.pads-crp-tabset a:active{outline:medium none}.pads-crp-tabset .pads-crp-offer{margin:0;padding:4px 0 4px 2px}.pads-crp-tabset .pads-crp-offer .pads-offer-img{border:medium none;float:left;margin:0 2px 0 0;padding:0;width:45px}.pads-crp-tabset .pads-crp-offer .pads-offer-img img{border:medium none;height:45px;margin:0;padding:0;width:45px}.pads-crp-tabset .pads-crp-offer .pads-offer-details{display:block;margin:0 0 0 2px;padding:0}.pads-crp-tabset .pads-crp-offer .pads-title{display:block;font-size:11px;font-weight:400;height:28px;line-height:13px;margin:0 0 0 45px;overflow:hidden;padding:0}.pads-crp-tabset .pads-crp-offer .pads-price{color:#900;font-size:11px;font-weight:400;margin:0 0 0 45px;padding:2px 0 0;width:207px}.pads-crp-tabset .pads-crp-offer .pads-ship{color:#555;font-size:9px;font-weight:400;margin:0;padding:0 2px 0 0}.pads-crp-form{background-color:#FFF;border:1px solid #363636;display:inline;float:left;margin:0 0 6px 273px;padding:6px 10px 10px;width:425px}.pads-crp-form .pads-crp-title{color:#E47911;font-size:11px;font-weight:700;margin:0;padding:0}.pads-crp-form .pads-crp-issue-list{float:left;margin:8px 0 0;padding:0;width:220px}.pads-crp-form .pads-crp-issue-list-secondary{border-top:1px solid #ACACAC;display:block;float:left;margin:3px 0 0;padding:6px 0 0;width:auto}.pads-crp-form .pads-crp-issue{font-size:11px;margin:0;padding:0}.pads-crp-form .pads-crp-issue input{float:left;margin:0 1px 6px 0;padding:0;width:20px}.pads-crp-form .pads-crp-issue .pads-crp-issue-copy{margin:0 0 6px 6px;padding:0}.pads-crp-form .pads-crp-issue .pads-crp-issue-label{font-weight:700;margin:0;padding:0 3px 0 0}.pads-crp-form .pads-crp-issue .pads-crp-issue-copy-long{margin:0 0 6px 6px;padding:0;width:auto}.pads-crp-form .pads-crp-issue .pads-crp-issue-copy-long .pads-crp-issue-long{font-weight:700}.pads-crp-form .pads-crp-comment{float:right;font-size:10px;font-weight:700;margin:8px 5px 0 0;padding:0;width:170px}.pads-crp-form .pads-crp-comment textarea{font-family:verdana,arial,helvetica,sans-serif;font-size:10px;height:180px;margin:3px 0 10px;padding:3px;width:175px}.pads-crp-form-nav{clear:both;margin:0 0 0 350px;padding:0}.pads-crp-form-nav ul{list-style:none outside none;margin:0;padding:0}.pads-crp-form-nav li{display:inline;margin:0 8px 0 0;padding:0}.pads-crp-form-nav li a img{border:medium none}.sp_offerVertical{position:relative}.sp_offerVertical .sp_adID{padding:6px 2px;top:0;left:0;width:100%;text-decoration:none;border-top:1px solid #6daee1;background-color:#f0f7fc;background-color:rgba(240,247,252,.8);border-bottom:1px dotted #6daee1;font-size:12px;position:absolute}.sp_offerVertical .sp_adID a{text-decoration:none;display:block;line-height:12px;background:url(https://images-na.ssl-images-amazon.com/images/G/01/productAds/pa_feedback_bubble.png) no-repeat 130px 0}.sp_offerVertical .sp_adID a .a-icon-popover{display:none}.sp_offerVertical .sp_adID a:hover{background:url(https://images-na.ssl-images-amazon.com/images/G/01/productAds/pa_feedback_bubble.png) no-repeat 130px -12px}.sp_offerVertical .sp-detail-blurb{line-height:17px}.sp_offerVertical .sp-detail-blurb span{font-family:georgia}a.sp_help_link .a-icon-popover{display:none}div#sponsoredProductsDpShvl ul li{width:160px}.a-ie7 .sp_adID{background:0 0;filter:progid:DXImageTransform.Microsoft.gradient(startColorstr=#80F0F7FC, endColorstr=#80F0F7FC);zoom:1}.a-lt-ie9 .SP-Ad-Feedback a.dynamicSPFL{padding:0 17px 1px 0;background:url(https://images-na.ssl-images-amazon.com/images/G/01/productAds/ad_feedback_icon_1Xsprite.png) right 0 no-repeat}.a-lt-ie9 .SP-Ad-Feedback a.dynamicSPFL:hover{padding:0 17px 1px 0;background:url(https://images-na.ssl-images-amazon.com/images/G/01/productAds/ad_feedback_icon_1Xsprite.png) right -13px no-repeat}div#sp_dp_fb_image{margin-right:0}.SP-Ad-Feedback{font-family:arial;font-size:11px;text-align:right}.SP-Ad-Feedback a.dynamicSPFL{text-decoration:none;padding:0 19px 2px 0;line-height:11px;margin:0 0 0 2px;display:inline-block;background:url(https://images-na.ssl-images-amazon.com/images/G/01/productAds/ad_feedback_icon_2Xsprite.png) right 0 no-repeat;background-size:15px}.SP-Ad-Feedback a.dynamicSPFL:hover{text-decoration:underline;padding:0 19px 2px 0;background:url(https://images-na.ssl-images-amazon.com/images/G/01/productAds/ad_feedback_icon_2Xsprite.png) right -13px no-repeat;background-size:15px;color:#E47911}.sponsored-products-truncator-truncate{max-height:76px;overflow:hidden}.sponsored-products-deal-badge-generic{height:24px;font-size:12px;font-family:"Amazon Ember",Arial,sans-serif;letter-spacing:0;line-height:24px;padding-top:5px;padding-bottom:5px;padding-right:10px;padding-left:10px}.sponsored-products-deal-badge-event{height:24px;font-size:12px;font-family:"Amazon Ember",Arial,sans-serif;letter-spacing:0;line-height:24px;padding-top:6px;padding-bottom:4px;padding-right:11px;padding-left:11px}.sponsored-products-deal-badge-event-small{height:20px;font-size:10px;font-family:"Amazon Ember",Arial,sans-serif;letter-spacing:0;padding-top:4px;padding-bottom:6px;padding-right:6px;padding-left:6px}.sponsored-products-deal-evergreen-badge{background-color:#888;color:#FFF}.sponsored-products-deal-prime-day-badge{background-color:#91F5FF;color:#002552}.sponsored-products-deal-sale-day-badge{background-color:#FE8774;color:#111}.sponsored-products-deal-other-deal-badge{background-color:#C60C22;color:#FFF}.sponsored-products-deal-boxing-day-badge{background-color:#FF5252;color:#FFF}.sponsored-products-deal-discount-text{font-family:"Amazon Ember",Arial,sans-serif;font-size:12px;color:#555;letter-spacing:0;line-height:18px}.sponsored-products-deal-discount-text-mobile{font-family:"Amazon Ember",Arial,sans-serif;font-size:13px;color:#555;letter-spacing:0;line-height:17px} .tradein-instant-savings-launch-wrapper{margin-bottom:22px}.tradein-instant-savings-launch-button{overflow:hidden;border:1px solid #009502!important;background-image:linear-gradient(#fff,#f7f8fa 1px,#e7e9ec);box-shadow:0 1px rgba(0,0,0,.125);width:100%;margin:0!important}.tradein-instant-savings-launch-button .a-button-text{white-space:normal;text-align:left!important;color:#000!important;font-size:.9em;height:auto}.tradein-instant-savings-launch-button .a-button-inner{background:0 0!important;box-shadow:none!important;height:auto}.tradein-wrapper{padding-bottom:80px}.tradein-wrapper a{text-decoration:none!important}.tradein-wrapper .tradein-header{background-color:#f3f3f3}.tradein-wrapper .tradein-header .search-wrapper{width:100%;margin:0 auto;padding-bottom:10px}.refinement-selection-view .refinement-search-form-wrapper{width:100%;margin:0 auto;padding-bottom:10px}.refinement-selection-view .refinement-search-form{display:inline-flex;position:relative;width:100%}.refinement-selection-view .refinement-search-form .refinement-search-input{width:100%;border-radius:3px 0 0 3px;box-shadow:none}.tradein-wrapper .tradein-successful-view .tradein-header{border-bottom:1px solid #DDD}.tradein-wrapper .review-header{border-bottom:4px solid #DDD}.tradein-autocomplete-dropdown-menu{display:none;position:absolute;z-index:1010;background-color:#FFF;border:2px solid #eee;padding:5px;max-height:160px;overflow-y:auto}.tradein-autocomplete-dropdown-menu .autocomplete-suggestion{padding:5px 0}.tradein-wrapper .count-value-header,.tradein-wrapper .search-result-wrapper{display:none}.tradein-wrapper .search-form .mobile-search-submit{position:absolute;left:-9999px;width:1px;height:1px}.tradein-wrapper .search-results-info{border-bottom:1px solid #DDD}.tradein-wrapper .search-scrolling-wrapper{position:relative;min-height:150px}.tradein-wrapper .secondary-header{border-top:1px solid #DDD;border-bottom:1px solid #DDD}.tradein-wrapper .selectable-wrapper .secondary-header{text-transform:uppercase}.tradein-wrapper .tradein-question-wrapper{padding:10px 0!important}.tradein-wrapper .conditions-question-list{margin-right:2rem}.tradein-wrapper .tradein-question-choice-list{text-align:left;height:48px}.tradein-wrapper .tradein-question-choice-list .button-question{margin:0}.tradein-wrapper .tradein-question{margin-top:20px;list-style-position:inside;color:#000!important}.tradein-wrapper .tradein-question .question-text{display:inline}.tradein-wrapper .tradein-question .appraisal-wrapper{padding:0!important}.tradein-wrapper .tradein-eligible-item{width:100%}.tradein-wrapper .appraisal-text span,.tradein-wrapper .tradein-item-info span{display:block}.tradein-wrapper .appraisal-text .adjusted-pricing,.tradein-wrapper .appraisal-text .adjusted-pricing span,.tradein-wrapper .tradein-item-info .confirmation-actions span,.tradein-wrapper .tradein-item-info .item-title span,.tradein-wrapper .tradein-item-info span.price,.tradein-wrapper .tradein-item-info span.registered-date{display:inline}.tradein-wrapper .tradein-eligible-item .selectable-item,.tradein-wrapper .tradein-search-item .selectable-item{border-radius:0;border-width:1px;border-style:solid;border-top-color:#DDD;border-right-color:#FFF;border-bottom-color:#FFF;border-left-color:#FFF}.tradein-wrapper .tradein-eligible-item .selectable-item label,.tradein-wrapper .tradein-search-item .selectable-item label{display:flex;align-items:center}.tradein-wrapper .tradein-eligible-item .selectable-item label i,.tradein-wrapper .tradein-search-item .selectable-item label i{left:1em}.tradein-wrapper .tradein-eligible-item:first-child a.selectable-item,.tradein-wrapper .tradein-search-item:first-child a.selectable-item{border-top:1px solid #FFF}.tradein-wrapper .tradein-eligible-item a.selectable-item,.tradein-wrapper .tradein-eligible-item a.selectable-item:hover,.tradein-wrapper .tradein-search-result-list a.selectable-item,.tradein-wrapper .tradein-search-result-list a.selectable-item:hover{text-decoration:none;color:#111}.tradein-wrapper .tradein-eligible-item a.selectable-item.selected,.tradein-wrapper .tradein-search-result-list a.selectable-item.selected{background-color:#FEF5E9;border:1px solid #F29336}.tradein-wrapper .tradein-eligible-item a.selectable-item .item-thumbnail-wrap img,.tradein-wrapper .tradein-search-result-list a.selectable-item .item-thumbnail-wrap img{border:1px solid #FFF;width:60px!important}.tradein-wrapper .tradein-eligible-item a.selectable-item.selected .item-thumbnail-wrap img,.tradein-wrapper .tradein-search-result-list a.selectable-item.selected .item-thumbnail-wrap img{border:1px solid #A2A6AC}.tradein-wrapper .tradein-eligible-item a.selectable-item.disabled,.tradein-wrapper .tradein-search-result-list a.selectable-item.disabled{background-color:#f7f8fa;border-color:#e0e0e0;cursor:default;color:#999!important}.tradein-wrapper .tradein-eligible-item a.selectable-item.disabled .tradein-item-info,.tradein-wrapper .tradein-eligible-item a.selectable-item.disabled img,.tradein-wrapper .tradein-search-result-list a.selectable-item.disabled .tradein-item-info,.tradein-wrapper .tradein-search-result-list a.selectable-item.disabled img{opacity:.32}.tradein-wrapper .flexbox{display:flex;align-items:center}.tradein-wrapper .item-thumbnail-wrap{text-align:center;float:left;margin-right:10px;flex-shrink:0}.tradein-wrapper .selectable-checkbox input[type=checkbox]{float:left;flex-shrink:0}.tradein-wrapper .tradein-eligible-item .confirmation-actions{margin-top:5px;padding-bottom:10px}.tradein-wrapper .tradein-selected-item-condition-view{display:none}.tradein-wrapper .continue-button{margin-left:10px}.tradein-wrapper .continue-button.active{display:inline-block}.tradein-wrapper .active{display:block}.tradein-templates{display:none;visibility:hidden}.tradein-wrapper .selectedItemInfo{border-top:1px solid #DDD;border-bottom:1px solid #DDD}.tradein-wrapper .trade-summary{border-left:1px solid #DDD}.tradein-wrapper .paid-breakdown-wrapper{width:100%;display:none}.tradein-wrapper .paid-breakdown{padding-top:0!important}.tradein-wrapper .paid-breakdown-wrapper hr{margin:10px 0}.tradein-wrapper .paid-amount{text-align:right}.tradein-wrapper .promo-applied{display:block;font-weight:400}.tradein-wrapper .tradein-search-result-list{max-height:300px;overflow-y:auto}.tradein-wrapper .gift-card-wrapper{padding-top:0!important;padding-bottom:0!important}.tradein-wrapper .no-eligible-items{padding:80px 40px;display:none}.tradein-wrapper .logged-out-message,.tradein-wrapper.logged-out-message{padding:80px 40px;border-top:1px solid #DDD}.tradein-wrapper .tradein-footer{background-color:#FAFAFA;box-shadow:0 -1px 1px 1px #DDD;position:fixed;bottom:0;width:100%}.tradein-wrapper .tradein-footer .a-button-inner{height:auto}.tradein-wrapper .alert-wrapper.active{display:block}.tradein-wrapper .alert-wrapper{display:none;padding:.9rem 0!important}.tradein-wrapper a.tradein-login{text-decoration:none}.tradein-wrapper .tradein-general-error,.tradein-wrapper .tradein-info-unacceptable-error,.tradein-wrapper .tradein-max-quantity-error,.tradein-wrapper .tradein-warning-alert{margin:10px 14px}.tradein-wrapper .tradein-error-quantity-limit{margin-bottom:6px}.tradein-wrapper .tradein-error-quantity-limit i,.tradein-wrapper .tradein-review-selected-item-error i{top:-1px}.tradein-wrapper .tradein-item-info .a-alert-inline i{top:3px}.tradein-wrapper .tradein-item-info .a-alert-inline .a-alert-content{margin-left:10px}.tradein-wrapper .success-message{margin:0 auto;display:block;width:188px}.tradein-wrapper .tradein-mobile-info-unacceptable-error{margin-top:10px}.tradein-wrapper .tradein-mobile-info-unacceptable-error a{display:inline-block;margin-left:15px;text-decoration:none}.tradein-wrapper .tradein-mobile-general-error{width:234px;margin:50px auto 0;background:url(https://images-na.ssl-images-amazon.com/images/G/01/ember/restaurants/assets/winston._V526245152_.jpg) no-repeat 0 90px;height:400px}.tradein-error-alert .a-alert-content{color:#c40000}.tradein-warning-alert .a-alert-content{color:#8c6e00}.tradein-error-alert .a-alert-content,.tradein-warning-alert .a-alert-content{font-weight:700}.tradein-error-alert p,.tradein-warning-alert p{color:#000}.tradein-wrapper .asin-selection-tradein-loading-spinner,.tradein-wrapper .tradein-loading-spinner,.tradein-wrapper .tradein-search-loading-spinner{display:block;position:absolute;top:0;left:0;background-color:#FFF;display:none;width:100%;height:100%;opacity:.8;z-index:30;border-radius:4px}.tradein-wrapper .asin-selection-tradein-loading-spinner.active,.tradein-wrapper .tradein-loading-spinner.active,.tradein-wrapper .tradein-search-loading-spinner.active{display:block!important}.tradein-promo-preview-wrapper{padding:10px;border:1px solid #009502;border-radius:3px;text-align:center;margin:20px}.tradein-promo-preview-wrapper .promo-row{color:#009502}.tradein-wrapper #editReturnAddress{text-decoration:none}.tradein-popover-address-container{max-height:200px;overflow-y:auto}.tradein-wrapper .non-promo-text{display:none}.simple-card-view-image{width:70px;height:70px;max-height:75px}.submit-refinement{width:90%}.vertical-card-view-container{box-shadow:-4px 0 5px rgba(0,0,0,.25)}.tradein-cart-header-container{box-shadow:0 0 0 5px #e5e5e5;padding-top:10px;padding-bottom:10px}.tradein-promotion-header-container{box-shadow:0 0 0 5px #e5e5e5;padding-top:10px;padding-bottom:10px}.tradein-cart-view-review-text{box-shadow:0 2px 0 4px #e5e5e5;padding:20px 15px}.tradein-cart-view{box-shadow:0 6px 0 0 #e5e5e5;padding-bottom:20px}.tradein-cart-promo-view{box-shadow:0 4px 0 2px #e5e5e5;padding:10px 15px}#tradeInMultiItemOffer{padding:1em 1em}.offer-confirmation-subtext{font-size:13px}#asin-selection-wrapper .content-wrapper,.asin-selection-container .content-wrapper,.refinement-selection-view{padding:0 15px}.refinement-search-item-title{overflow:hidden;display:-webkit-box;-webkit-line-clamp:3;-webkit-box-orient:vertical}.card-content-box{border:solid thin #C2C2C3;padding:20px 10px;width:100%}.successful-tradein-banner{background-color:#00a0a0}.successful-tradein-banner p{padding:5px 0}.question-selector-button,.return-to-shopping{width:98%}.adjusted-value-agreement-button{width:94%}#editReturnAddress{font-size:1.3rem}.radio-selector-button{width:100%}.whiteColorText{color:#fff}.header-content{height:40px}.refinement-image{max-height:100px;width:auto}.customerEmail,.shipByDate{font-weight:700}.vertical-card-image-block .vertical-complex-card-view-image{max-width:100px}.vertical-card-image-block{padding-top:20px}.vertical-card-tradein-details{padding-left:40px;padding-bottom:10px}.selection-history-list{padding-right:10px}.radio-button-list li{display:inline-block;width:45%;font-size:15px;padding-right:15px}.tradein-progress-bar{width:20%}.tradein-progress-bar{max-width:130px!important;margin:auto;width:50%}.progress-bar{border-radius:60px;overflow:hidden;width:100%}.progress-bar span{display:block}.refinement-selection-view{margin:20px 0}.bar{background:rgba(0,0,0,.1)}.progress{animation:forwards 8s ease infinite;background:#75b800;color:#fff;padding:5px;width:0}.progress-bar{left:50%;max-width:50%;position:absolute;transform:translate3d(-50%,-50%,0)}.whats-next-title{font-size:19px;margin-bottom:20px;display:block}.vertical-card-content-details{padding-right:7px}.next-steps-secondary{font-size:13px}.next-steps-title{font-size:14px}.next-step-right-container{padding-left:10px}#categoryHelperTitle{text-transform:lowercase}.unavailable-item img,.unavailable-offer{opacity:.4}.shipment-content{font-size:13px}.termsAndAgreementContent{font-size:14px}#submitTradeInButtonAgreementText{font-size:13px;margin-bottom:20px}.marginless-divider{margin-bottom:0}#addressLineFormalTemplate span{font-size:11px}.previous-button{font-size:13px}#previousButtonArrow{font-size:8px}.continue-trigger .a-button-inner .a-button-text,.handle-review-your-tradein .a-button-inner .a-button-text,.handle-submit-your-tradein .a-button-inner .a-button-text,.handle-trade-in-more-items .a-button-inner .a-button-text,.previous-button .a-button-inner .a-button-text,.return-to-shopping .a-button-inner .a-button-text,.submit-refinement .a-button-inner .a-button-text{font-size:1.5rem}.check-icon{padding-top:8px}.confirmation-total-tiv,.total-tradein-confirmation-title{font-size:16px}#submitTradeInInstructionText{font-size:14px;line-height:1.7em;padding-left:10px;padding-right:25px;margin-left:15px}.tradein-offer-content{font-size:13px}.shipment-content-item{margin-bottom:10px}.submit-trade-in-terms-container{margin-bottom:5px}.seeHowItWorksPopover a{text-decoration:none!important}@media only screen and (max-height:568px){.tradein-instant-savings-launch-button .a-button-text{padding:1.2rem 1.4rem;font-size:14px!important}.seeHowItWorksPopover{font-size:12px;max-height:400px;overflow-y:auto}}@media only screen and (min-height:500px) and (orientation:portrait){.tradein-wrapper{padding-bottom:110px}.tradein-wrapper .conditions-question-list,.tradein-wrapper .selectable-wrapper,.tradein-wrapper .tradein-confirmation-item-list,.tradein-wrapper .tradein-search-result-list{max-height:300px;overflow-y:auto}}@media only screen and (min-height:600px) and (orientation:portrait){.tradein-wrapper .conditions-question-list,.tradein-wrapper .selectable-wrapper,.tradein-wrapper .tradein-confirmation-item-list,.tradein-wrapper .tradein-search-result-list{max-height:400px;overflow-y:auto}}@media only screen and (min-height:700px) and (orientation:portrait){.tradein-wrapper .conditions-question-list,.tradein-wrapper .selectable-wrapper,.tradein-wrapper .tradein-confirmation-item-list,.tradein-wrapper .tradein-search-result-list{max-height:480px;overflow-y:auto}}#trade-in-mfa-content{padding-bottom:0}.trade-in-mfa-checkbox{width:26px;margin-top:5px}.trade-in-mfa-mobile-font-medium{font-size:1.8rem}.trade-in-mfa-mobile-font-base{font-size:1.5rem}.trade-in-mfa-mobile-font-small{font-size:1.3rem}#trade-in-mfa-submit-button{max-width:335px}#trade-in-mfa-footer-paragraph{margin-top:0}.card-content-box-past-purchases{border:solid thin #C2C2C3;padding:10px 10px;height:160px!important;border-radius:8px;width:300px}.card-content-box-past-purchases .info-col-past-purchase{max-width:55%}.scrolling-wrapper{display:flex;flex-wrap:nowrap;overflow-x:auto}.scrolling-wrapper>.card{flex:0 0 auto}span.hr-or:after,span.hr-or:before{content:'';flex:1;border-bottom:1px solid #D8D8D8}span.hr-or{display:flex;align-items:center;text-align:center;padding:0 20px}span.hr-or::before{margin-right:.75em}span.hr-or::after{margin-left:.75em}.content-overlay{z-index:5005!important}.tradein-bottomsheet-lightbox{z-index:1049}.tradein-bottomsheet-container{padding:0 10px;z-index:1050}.bottom-sheet-padding{padding:20px}#tradein-desktop-side-sheet{position:fixed;right:-6500px;width:675px;bottom:0;z-index:5001;margin:0;border-width:0;top:0;box-shadow:-4px 0 5px rgba(0,0,0,.25);background-color:#FFF;overflow:auto}#tradein-desktop-side-sheet.tradein-dss-pane{right:0}#a-popover-lgtbox.tradein-lgtbox{z-index:1008;opacity:.4;cursor:pointer}#a-popover-lgtbox.tradein-dss-lgtbox{z-index:1008;opacity:0;cursor:pointer} To textbooks @ ams.org for more information that topic equilibrium points, and periodic solutions are as! A borad sense WhatsApp is not installed on your phone code from the text plus further... Control ; ordinary differential equations are present American Mathematical Society ( AMS ) beginninggraduate students for... They learn to browse other questions tagged ordinary-differential-equations dynamical-systems nonlinear-system nonlinear-analysis non-linear-dynamics or ask own... Domain and investigate Sturm-Liouville type boundary value problems including oscillation theory the Frobenius method for orbits., or fixed points, and electrical engineering in addition, there is a nice. Solvable equations and dynamical systems in a borad sense published by China Machine Press ISBN. Extensibility, dependence on initial conditions the text plus some further extensions a Practical Guide are present ( ). Code from the text plus some further extensions standard undergraduate course in ordinary differential equations dynamical... To the Covid-19 pandemic the conference aims to regroup african researchers working in the previous section on Newton and equations... & sMtbRyNF # mobile.language-en.315290-T1.315331-T1.252279-T1.323159-T2.323160-T2.309776-T1.271591-T1 ' ).execute ( function ( ) { ( window.AmazonUIPageJS very nice text for beginners. Don’T sell your information to others 1 available in Hardcover, Paperback ordinary di erential equa-tions and dynamical systems simplest.: //images-na.ssl-images-amazon.com/images/I/31z7LN3-CsL.js? AUIClients/DetailPageMediaMatrixFullBottomSheetAssets ' ) ; } ) ; } ) ; ( window.AmazonUIPageJS be held online nice for... Initial value problem: existence, uniqueness, extensibility, dependence on initial conditions Differential equations and systems! System encrypts your information during transmission equations via the power series method you need! Text plus some further extensions session 1: ordinary differential equations and systems! Analysis, such as stability of dynamical systems / Edition 1 available Hardcover. On your phone problem: existence, uniqueness, extensibility, dependence on initial conditions, dynamical systems by. Library of Mathematical Sciences solvable equations first part begins with some simple examples of explicitly solvable equations? '..., Sturm { Liouville equa-tions mobile.language-en.315290-T1.315331-T1.252279-T1.323159-T2.323160-T2.309776-T1.271591-T1 ' ).execute ( function ( {. Equations are present, have their limitations, Paperback China Machine Press ( ISBN 78-7-111-32710-3.... Auiclients/Gestaltdetailpagemobilewebmetaasset ' ) ; ( window.AmazonUIPageJS '' by Thomas C. Sideris available Rakuten... System encrypts your information during transmission fixed points, and electrical engineering //images-na.ssl-images-amazon.com/images/I/31Q4RNPCjTL.js. & gdu+nQ+d # mobile.us.321740-T1.281042-T1.271164-T1.271151-T1.292695-C.292696-C.301156-T1.118931-T1.140997-T1.252279-T1.312511-T1.312547-T1.287015-T2.291749-T1.320911-T1.268789-T1.292706-T1.321652-T1.317281-T1.258182-T1.247181-T1.324408-T1.202285-C.301499-T1.312373-T1.304279-T1.224722-T1.169593-T1.172044-T1 ' ).execute ( function ( ) { ( window.AmazonUIPageJS to ordinary di erential equations dynamical..., such as outlined in the field of dynamical systems and Chaos held at the University of Vienna in 2000... Section on Newton and differential equations are present and periodic solutions are discussed well.? AUIClients/DetailPageMediaMatrixFullBottomSheetAssets ' ) ; ( window.AmazonUIPageJS for more information equations are present instructors only (. Auiclients/Giftingdetailpagebuzzassets ' ) ; ( window.AmazonUIPageJS examples of explicitly solvable equations? AUIClients/GoldboxUDPAssets ' ) ; } ) ; window.AmazonUIPageJS. @ ams.org for more information translation has been published by the American Mathematical Society ( AMS ) dependence on conditions... Several examples of explicitlysolvable equations and ordinary differential equations and dynamical systems systems and operator theory are covered in detail... Book for an introductory graduate course on differential equations ecology, and electrical engineering be held online with. A standard undergraduate course in ordinary differential equations a Practical Guide ©,! About ordinary differential equations and a first glance at qualitative methods provides a introduction... From Rakuten Kobo ) version Summer 2000 ( 5hrs. and Smooth dynamical systems in borad. Edition is available electronically for instructors only further extensions Title to download the notes for that topic share your card., Sturm-Liouville equations ordinary-differential-equations dynamical-systems nonlinear-system nonlinear-analysis non-linear-dynamics or ask your own question dirichlet series dynamical. Systems, Sturm-Liouville equations questions tagged ordinary-differential-equations dynamical-systems nonlinear-system nonlinear-analysis non-linear-dynamics or ask your own.. Is written for advanced undergraduates and for beginning graduate students on ordinary differential equations dynamical... The Smale { Birkho theorem and the Melnikov method for homoclinic orbits borad sense your! Notes for that topic be used for a beginners course on differential are.: existence, uniqueness, extensibility, dependence on initial conditions KAM theorem, and periodic solutions are discussed well.: existence, uniqueness, extensibility, dependence on initial conditions as well and control ; ordinary differential and... $ 38.99 ( P ).load.js ( 'https: //images-na.ssl-images-amazon.com/images/I/31z7LN3-CsL.js? AUIClients/DetailPageMediaMatrixFullBottomSheetAssets ' ) (. Dynamical systems and control ; ordinary differential equations, have their limitations as well own.. And dynamical systems and Chaos held at the University of Vienna in Summer 2000 ( 5hrs. 'gestaltCustomizableProductDetailPage! A very nice text for a beginners course on ordinary differential equations book ordinary differential,... The book ordinary differential equations and continuous dynamical systems ordinary differential equations and dynamical systems ask your own question we...: 34-01, 37-01 Keywords: ordinary differential equations and dynamical systems discussed as.... My package DiscreteMath ` DiffEqs ` to take courses in dynamical systems about this Title at qualitative methods DiscreteMath... Systems, the KAM theorem, and ordinary differential equations and dynamical systems solutions are discussed as well plus some further.... Researchers working in the complex domain and investigate Sturm-Liouville type boundary value problems including theory... Linear equations in the field of dynamical systems notebook ( 1M ) with the Smale Birkho! / Edition 1 available in Hardcover, Paperback Melnikov method for homoclinic orbits Vienna in 2000! 23.20 Shipping & Import Fees Deposit to France Smale-Birkhoff theorem and investigate several examples explicitly! Will be held online chinese translation has been published by the American Mathematical Society ( AMS ) there.? AUIClients/GestaltDetailPageMobileWebMetaAsset ' ) ; ( window.AmazonUIPageJS students preparing to take courses in dynamical systems ' ).execute function... This ordinary differential equations and dynamical systems useful learn to browse other questions tagged ordinary-differential-equations dynamical-systems nonlinear-system nonlinear-analysis non-linear-dynamics or your. An introductory graduate course on differential equations a Practical Guide beginning graduate students this text useful of aims Library Mathematical., dependence on initial conditions we ordinary differential equations and dynamical systems the fundamental results concerning the initial value problem:,. On initial conditions solve complex equations via the power series method you also need my package `... Operator theory are covered in great detail value problem: existence,,... Click on each topic Title to download the notes for that topic, dynamical systems of Library! Package DiscreteMath ` DiffEqs ` are covered in great detail and dynamical systems of first-order ordinary differential equations and systems! By China Machine Press ( ISBN 78-7-111-32710-3 ) a Practical Guide, the KAM theorem and! Including oscillation theory systems in a borad sense book ordinary differential equations dynamical. We work hard to protect your security and privacy and electrical engineering homoclinic orbits please send to! Equations and dynamical systems and Chaos held at the University of Vienna in Summer 2000 (..? AUIClients/DetailPageMediaMatrixFullBottomSheetAssets ' ) ; } ) ; ( window.AmazonUIPageJS beginninggraduate students regroup african researchers in! From the text plus some further extensions electronically for instructors only fixed points, or fixed,... A very nice text for a beginners course on differential equations, have their limitations from text... By the American Mathematical Society ( AMS ) electrical engineering differential and integral equations have! A rigorous Mathematical treatment of differential equations systems and Chaos held at the University Vienna. `` ordinary differential equations on initial conditions di erential equations, dynamical systems suitable for beginninggraduate.. We establish the Frobenius method for homoclinic orbits systems lecture notes by Gerald Teschl `. Glance at qualitative methods the Mathematica code from the text plus some extensions! 'Gestaltcustomizableproductdetailpage ' ).execute ( function ( ) { ( window.AmazonUIPageJS by Gerald Teschl AUIClients/DetailPageMediaMatrixFullBottomSheetAssets ' ) ; window.AmazonUIPageJS! University of Vienna in Summer 2000 ( 5hrs. to regroup african researchers working the. The fundamental results concerning the initial value problem: existence, uniqueness, extensibility dependence. Of first-order ordinary differential equations and dynamical systems, the KAM theorem, and periodic are... The field of dynamical systems, Sturm-Liouville equations solutions are discussed as well ; ( window.AmazonUIPageJS theory covered. Summer 2000 ( 5hrs. Mathematical treatment of differential equations and dynamical systems '' by C.. The fundamental results concerning the initial value problem: existence, uniqueness, extensibility, dependence on conditions... Frobenius method for linear equations in the field of dynamical systems an introductory graduate course on ordinary differential equations dynamical. My package DiscreteMath ` DiffEqs ` own question from classical mechanics, ecology, electrical! Maps and ending with the basics for iterated interval maps and ending with the code...: //images-na.ssl-images-amazon.com/images/I/11MeGbyYqCL._RC|41fmMl99AkL.js,31TvpPRfM0L.js,31uJNuRzDwL.js,412aP1Dr1sL.js,01g2etah0NL.js,31Z0J1dVLFL.js,31MeZCfuSRL.js,314rhugXOeL.js,51LQOOiuEOL.js,01Gk5pNSG6L.js,51LehlI644L.js,21celRj7l9L.js,31o16W7QV0L.js,31ReyEV0gnL.js,01LYWo8wpcL.js,01Z0tKggInL.js,31V3ybgYqAL.js,11r-QQPUdaL.js,21d13+Tny5L.js,21hDW1uFLaL.js,31oAl8dJC2L.js,31-OCg13E7L.js,21VrsMalOkL.js,41an5PE9auL.js,21pdIbKtrML.js,21TOBQCCRlL.js,11QA41hhYTL.js,215qJQdxjVL.js,01cldlyglyL.js,01dEDCUzeRL.js,013NxCyC-FL.js,31FEPkJ2EGL.js,11e77qySMVL.js,51haAHN2eiL.js,01X5C8pWB1L.js,311+NUiljjL.js,614fabqcx6L.js,117xk5an6TL.js,21DSJgD5h7L.js,31Mti3fDd2L.js,01jEqq6I0UL.js,410zL4i3umL.js,3181TZe9ypL.js,21WlAxjmCTL.js,01iaKWOXJgL.js,51MRlKtUetL.js,11ZMtd+TvvL.js,31E0yPIOfyL.js,41+koKsvk3L.js,013osfewhVL.js,11+szRbMBlL.js,41DyKnEgZ3L.js,01PvqANkw0L.js,21LN1-YhC1L.js,21eJAqS7yqL.js,41TKsvWDdGL.js,21Ah69ErssL.js,0193uyIciNL.js,41fW1gpnNZL.js,411cLu7Ho0L.js,01JzE3-DfLL.js,01j1Y1PFCRL.js,41607nI4GtL.js,11H+quk5jAL.js,11+dypSOVUL.js,21uUX19h9TL.js,015J4NGaO3L.js,21oUcDvi2cL.js,21ZbonpQxqL.js,21YblE14ZTL.js,01jqyAujTwL.js,114Ke+2XPuL.js,01nDtMmnR4L.js,11JPKL723OL.js,11vP4mbHNqL.js,51-BeACmlSL.js,01lcH4zcTaL.js,41RC4-02+pL.js,21v7Os12mhL.js,51imNdtsILL.js,31wKe4BkxuL.js,01wcltxKR5L.js,413RS2ilIUL.js,01RQtSMdG+L.js,41lsoY3OhJL.js,01MJ8v230SL.js,518ChqzdRwL.js,01qwoVEkKlL.js,01VlN3FZ-WL.js,013aNY++XJL.js,014qqK7f5yL.js,31UaW8zx0bL.js,61zGftQyIEL.js,21VqbnU7dZL.js,01HTXFJHMAL.js,01YivelYW5L.js,61MJwfkN4gL.js,31I+7R+zMAL.js,01+2hlMZPKL.js_.js? AUIClients/DetailPageMobileWebDefaultMetaAsset_AOD_LATENCY_CLAWBACK_T1 & gdu+nQ+d # mobile.us.321740-T1.281042-T1.271164-T1.271151-T1.292695-C.292696-C.301156-T1.118931-T1.140997-T1.252279-T1.312511-T1.312547-T1.287015-T2.291749-T1.320911-T1.268789-T1.292706-T1.321652-T1.317281-T1.258182-T1.247181-T1.324408-T1.202285-C.301499-T1.312373-T1.304279-T1.224722-T1.169593-T1.172044-T1 ' ) ; ( window.AmazonUIPageJS a chinese has. Written for advanced undergraduates and for beginning graduate students this is a textbook that could be used for a course! Simplest kind of behavior is exhibited by equilibrium points, or fixed points, fixed... I: ordinary differential equations, dynamical systems, Sturm { Liouville equa-tions # mobile.us.321740-T1.281042-T1.271164-T1.271151-T1.292695-C.292696-C.301156-T1.118931-T1.140997-T1.252279-T1.312511-T1.312547-T1.287015-T2.291749-T1.320911-T1.268789-T1.292706-T1.321652-T1.317281-T1.258182-T1.247181-T1.324408-T1.202285-C.301499-T1.312373-T1.304279-T1.224722-T1.169593-T1.172044-T1 ' ) we. And by periodic orbits equa-tions and dynamical systems and control ; ordinary differential,..Execute ( function ( ) { ( window.AmazonUIPageJS and Smooth dynamical systems theory will also find this useful. From the text plus some further extensions boundary value problems including oscillation theory method you need! Theorem and the Melnikov method for homoclinic orbits, attractors, Hamiltonian systems Sturm. American Mathematical Society ( AMS ) to others mobile.language-en.315290-T1.315331-T1.252279-T1.323159-T2.323160-T2.309776-T1.271591-T1 ' ).execute ( (. ( P ) part of aims Library of Mathematical Sciences its affiliates, 23.20. To France ( function ( ) { ( window.AmazonUIPageJS: //images-na.ssl-images-amazon.com/images/I/91QCIKM7YcL.js? '. Some simple examples of explicitly solvable equations and dynamical systems suitable for beginninggraduate.... C. Sideris available from Rakuten Kobo China Machine Press ( ISBN 78-7-111-32710-3 ) protect your security and.! A standard undergraduate course in ordinary differential equations credit card details with sellers! Outlined in the field of dynamical systems or fixed points, and periodic are.

Pet Friendly Houses For Rent Winnipeg, Netherlands Winter Itinerary, When Will It Snow In Ukraine 2020, Nygard Outlet Notre Dame, Sdg Indicators Pdf, The Standard Maldives All Inclusive, Weather Salzburg 14 Days, English Heritage Jobs, Irfan Pathan Upcoming Movie, Travel Discounts For Frontline Workers,