MAE579010 van der Pol oscillator











>> YOUR LINK HERE: ___ http://youtube.com/watch?v=O1lQrHemPsw

Origins of the van der Pol oscillator in radio engineering. Strongly nonlinear limit. Liénard transformation. Relaxation oscillations. Weakly nonlinear limit. Energy method for estimating the amplitude of the limit cycle. • Reading: Strogatz, Nonlinear Dynamics and Chaos , Sections 7.4--7.6.","styleRuns":[{"startIndex":0,"length":292,"styleRunExtensions":{"styleRunColorMapExtension":{"colorMap":[{"key":"USER_INTERFACE_THEME_DARK","value":4294967295},{"key":"USER_INTERFACE_THEME_LIGHT","value":4279440147}]}},"fontFamilyName":"Roboto"}]},"headerRuns":[{"startIndex":0,"length":292,"headerMapping":"ATTRIBUTED_STRING_HEADER_MAPPING_UNSPECIFIED"}]}},{"itemSectionRenderer":{"contents":[{"continuationItemRenderer":{"trigger":"CONTINUATION_TRIGGER_ON_ITEM_SHOWN","continuationEndpoint":{"clickTrackingParams":"CPoBELsvGAIiEwjmuLi5lvWLAxXmdnoFHadbBnQ=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/next"}},"continuationCommand":{"token":"Eg0SC08xbFFySGVtUHN3GAYyJSIRIgtPMWxRckhlbVBzdzAAeAJCEGNvbW1lbnRzLXNlY3Rpb24%3D","request":"CONTINUATION_REQUEST_TYPE_WATCH_NEXT"}}}}],"trackingParams":"CPoBELsvGAIiEwjmuLi5lvWLAxXmdnoFHadbBnQ=","sectionIdentifier":"comment-item-section","targetId":"comments-section"}}],"trackingParams":"CPkBELovIhMI5ri4uZb1iwMV5nZ6BR2nWwZ0"}},"secondaryResults":{"secondaryResults":{"results":[{"compactVideoRenderer":{"videoId":"ma6wOguLxnI","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/ma6wOguLxnI/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLActWnrx0EC0SiPVlnCFEN7TcpMsQ","width":168,"height":94},{"url":"https://i.ytimg.com/vi/ma6wOguLxnI/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLCgrSI35J9YxBGwIFnDp2IuATj0Lw","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"MAE5790-11 Averaging theory for weakly nonlinear oscillators by Cornell MAE 30,730 views 10 years ago 1 hour, 16 minutes"}},"simpleText":"MAE5790-11 Averaging theory for weakly nonlinear oscillators"},"longBylineText":{"runs":[{"text":"Cornell MAE","navigationEndpoint":{"clickTrackingParams":"CPIBEKQwGAAiEwjmuLi5lvWLAxXmdnoFHadbBnQyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@cornellmae1636","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCttJ4Pq7s3g7yOiszD_S_nA","canonicalBaseUrl":"/@cornellmae1636"}}}]},"publishedTimeText":{"simpleText":"10 years ago"},"viewCountText":{"simpleText":"30,730 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"1 hour, 16 minutes, 8 seconds"}},"simpleText":"1:16:08"},"navigationEndpoint":{"clickTrackingParams":"CPIBEKQwGAAiEwjmuLi5lvWLAxXmdnoFHadbBnQyB3JlbGF0ZWRIzP2YvceV1Kw7mgEFCAEQ-B0=","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=ma6wOguLxnI","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"ma6wOguLxnI","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr2---sn-uxaxiv0nxx5q-nv4l.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=99aeb03a0b8bc672 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 cmsv=s mt=1741012606 oweuc="}}}}},"shortBylineText":{"runs":[{"text":"Cornell MAE","navigationEndpoint":{"clickTrackingParams":"CPIBEKQwGAAiEwjmuLi5lvWLAxXmdnoFHadbBnQyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@cornellmae1636","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCttJ4Pq7s3g7yOiszD_S_nA","canonicalBaseUrl":"/@cornellmae1636"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/ytc/AIdro_lZxiw6F1Z_XcApLaOKh6MEf640mp4o5tBpzYQNU2ZGUQ=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CPIBEKQwGAAiEwjmuLi5lvWLAxXmdnoFHadbBnRA8oyv3KCHrNeZAQ==","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"30K views"}},"simpleText":"30K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CPcBEP6YBBgGIhMI5ri4uZb1iwMV5nZ6BR2nWwZ0","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CPcBEP6YBBgGIhMI5ri4uZb1iwMV5nZ6BR2nWwZ0","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"ma6wOguLxnI","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CPcBEP6YBBgGIhMI5ri4uZb1iwMV5nZ6BR2nWwZ0","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["ma6wOguLxnI"],"params":"CAQ%3D"}},"videoIds":["ma6wOguLxnI"]}},{"clickTrackingParams":"CPcBEP6YBBgGIhMI5ri4uZb1iwMV5nZ6BR2nWwZ0","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CPgBELlqIhMI5ri4uZb1iwMV5nZ6BR2nWwZ0"}},"popupType":"TOAST"}}]}},"trackingParams":"CPcBEP6YBBgGIhMI5ri4uZb1iwMV5nZ6BR2nWwZ0"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CPYBENGqBRgHIhMI5ri4uZb1iwMV5nZ6BR2nWwZ0","offlineVideoEndpoint":{"videoId":"ma6wOguLxnI","onAddCommand":{"clickTrackingParams":"CPYBENGqBRgHIhMI5ri4uZb1iwMV5nZ6BR2nWwZ0","getDownloadActionCommand":{"videoId":"ma6wOguLxnI","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CPYBENGqBRgHIhMI5ri4uZb1iwMV5nZ6BR2nWwZ0"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CPIBEKQwGAAiEwjmuLi5lvWLAxXmdnoFHadbBnQ=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgttYTZ3T2d1THhuSQ%3D%3D","commands":[{"clickTrackingParams":"CPIBEKQwGAAiEwjmuLi5lvWLAxXmdnoFHadbBnQ=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CPUBEI5iIhMI5ri4uZb1iwMV5nZ6BR2nWwZ0","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CPIBEKQwGAAiEwjmuLi5lvWLAxXmdnoFHadbBnQ=","hasSeparator":true}}],"trackingParams":"CPIBEKQwGAAiEwjmuLi5lvWLAxXmdnoFHadbBnQ=","accessibility":{"accessibilityData":{"label":"Action menu"}},"targetId":"watch-related-menu-button"}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"1 hour, 16 minutes, 8 seconds"}},"simpleText":"1:16:08"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CPQBEPnnAxgBIhMI5ri4uZb1iwMV5nZ6BR2nWwZ0","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"ma6wOguLxnI","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CPQBEPnnAxgBIhMI5ri4uZb1iwMV5nZ6BR2nWwZ0","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"ma6wOguLxnI"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CPQBEPnnAxgBIhMI5ri4uZb1iwMV5nZ6BR2nWwZ0"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CPMBEMfsBBgCIhMI5ri4uZb1iwMV5nZ6BR2nWwZ0","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CPMBEMfsBBgCIhMI5ri4uZb1iwMV5nZ6BR2nWwZ0","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"ma6wOguLxnI","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CPMBEMfsBBgCIhMI5ri4uZb1iwMV5nZ6BR2nWwZ0","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["ma6wOguLxnI"],"params":"CAQ%3D"}},"videoIds":["ma6wOguLxnI"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CPMBEMfsBBgCIhMI5ri4uZb1iwMV5nZ6BR2nWwZ0"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"MAE5790-11 Averaging theory for weakly nonlinear oscillators - 1 hour, 16 minutes - Go to channel - Cornell MAE - 30K views - 10 years ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"movingThumbnailDetails":{"thumbnails":[{"url":"https://i.ytimg.com/an_webp/ma6wOguLxnI/mqdefault_6s.webp?du=3000 sqp=CLDBpb4G rs=AOn4CLD87x9Y9hRIqkBhzGgzDUL8U-W4fg","width":320,"height":180}],"logAsMovingThumbnail":true},"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"ycJEoqmQvwg","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/ycJEoqmQvwg/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLC6X44izh7j67VvwASzlU2xV3L3qw","width":168,"height":94},{"url":"https://i.ytimg.com/vi/ycJEoqmQvwg/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLB6d4vDaz86dGiQCB751mqJ2lq6vw","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"MAE5790-1 Course introduction and overview by Cornell MAE 397,923 views 10 years ago 1 hour, 16 minutes"}},"simpleText":"MAE5790-1 Course introduction and overview"},"longBylineText":{"runs":[{"text":"Cornell MAE","navigationEndpoint":{"clickTrackingParams":"COsBEKQwGAEiEwjmuLi5lvWLAxXmdnoFHadbBnQyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@cornellmae1636","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCttJ4Pq7s3g7yOiszD_S_nA","canonicalBaseUrl":"/@cornellmae1636"}}}]},"publishedTimeText":{"simpleText":"10 years ago"},"viewCountText":{"simpleText":"397,923 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"1 hour, 16 minutes, 31 seconds"}},"simpleText":"1:16:31"},"navigationEndpoint":{"clickTrackingParams":"COsBEKQwGAEiEwjmuLi5lvWLAxXmdnoFHadbBnQyB3JlbGF0ZWRIzP2YvceV1Kw7mgEFCAEQ-B0=","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=ycJEoqmQvwg","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"ycJEoqmQvwg","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr2---sn-uxaxiv0nxx5q-nv4l.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=c9c244a2a990bf08 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 cmsv=s mt=1741012606 oweuc="}}}}},"shortBylineText":{"runs":[{"text":"Cornell MAE","navigationEndpoint":{"clickTrackingParams":"COsBEKQwGAEiEwjmuLi5lvWLAxXmdnoFHadbBnQyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@cornellmae1636","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCttJ4Pq7s3g7yOiszD_S_nA","canonicalBaseUrl":"/@cornellmae1636"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/ytc/AIdro_lZxiw6F1Z_XcApLaOKh6MEf640mp4o5tBpzYQNU2ZGUQ=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"COsBEKQwGAEiEwjmuLi5lvWLAxXmdnoFHadbBnRAiP7CzKqUkeHJAQ==","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"397K views"}},"simpleText":"397K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CPABEP6YBBgGIhMI5ri4uZb1iwMV5nZ6BR2nWwZ0","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CPABEP6YBBgGIhMI5ri4uZb1iwMV5nZ6BR2nWwZ0","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"ycJEoqmQvwg","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CPABEP6YBBgGIhMI5ri4uZb1iwMV5nZ6BR2nWwZ0","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["ycJEoqmQvwg"],"params":"CAQ%3D"}},"videoIds":["ycJEoqmQvwg"]}},{"clickTrackingParams":"CPABEP6YBBgGIhMI5ri4uZb1iwMV5nZ6BR2nWwZ0","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CPEBELlqIhMI5ri4uZb1iwMV5nZ6BR2nWwZ0"}},"popupType":"TOAST"}}]}},"trackingParams":"CPABEP6YBBgGIhMI5ri4uZb1iwMV5nZ6BR2nWwZ0"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CO8BENGqBRgHIhMI5ri4uZb1iwMV5nZ6BR2nWwZ0","offlineVideoEndpoint":{"videoId":"ycJEoqmQvwg","onAddCommand":{"clickTrackingParams":"CO8BENGqBRgHIhMI5ri4uZb1iwMV5nZ6BR2nWwZ0","getDownloadActionCommand":{"videoId":"ycJEoqmQvwg","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CO8BENGqBRgHIhMI5ri4uZb1iwMV5nZ6BR2nWwZ0"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"COsBEKQwGAEiEwjmuLi5lvWLAxXmdnoFHadbBnQ=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"Cgt5Y0pFb3FtUXZ3Zw%3D%3D","commands":[{"clickTrackingParams":"COsBEKQwGAEiEwjmuLi5lvWLAxXmdnoFHadbBnQ=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CO4BEI5iIhMI5ri4uZb1iwMV5nZ6BR2nWwZ0","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"COsBEKQwGAEiEwjmuLi5lvWLAxXmdnoFHadbBnQ=","hasSeparator":true}}],"trackingParams":"COsBEKQwGAEiEwjmuLi5lvWLAxXmdnoFHadbBnQ=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"1 hour, 16 minutes, 31 seconds"}},"simpleText":"1:16:31"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CO0BEPnnAxgBIhMI5ri4uZb1iwMV5nZ6BR2nWwZ0","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"ycJEoqmQvwg","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CO0BEPnnAxgBIhMI5ri4uZb1iwMV5nZ6BR2nWwZ0","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"ycJEoqmQvwg"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CO0BEPnnAxgBIhMI5ri4uZb1iwMV5nZ6BR2nWwZ0"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"COwBEMfsBBgCIhMI5ri4uZb1iwMV5nZ6BR2nWwZ0","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"COwBEMfsBBgCIhMI5ri4uZb1iwMV5nZ6BR2nWwZ0","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"ycJEoqmQvwg","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"COwBEMfsBBgCIhMI5ri4uZb1iwMV5nZ6BR2nWwZ0","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["ycJEoqmQvwg"],"params":"CAQ%3D"}},"videoIds":["ycJEoqmQvwg"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"COwBEMfsBBgCIhMI5ri4uZb1iwMV5nZ6BR2nWwZ0"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"MAE5790-1 Course introduction and overview - 1 hour, 16 minutes - Go to channel - Cornell MAE - 397K views - 10 years ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"movingThumbnailDetails":{"thumbnails":[{"url":"https://i.ytimg.com/an_webp/ycJEoqmQvwg/mqdefault_6s.webp?du=3000 sqp=CIDapb4G rs=AOn4CLASyY8fQBfN8W2ytUVQTX2o8RCsfQ","width":320,"height":180}],"logAsMovingThumbnail":true},"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"3SbaONTk1mU","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/3SbaONTk1mU/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLCWtlX-tc_KkrsLO0cLzSUT0CZ-mQ","width":168,"height":94},{"url":"https://i.ytimg.com/vi/3SbaONTk1mU/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLC6nAGEi7Awbq9K2Vz_82rLFOHeUw","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"Limit cycles by richard pates 5,165 views 4 years ago 14 minutes, 48 seconds"}},"simpleText":"Limit cycles"},"longBylineText":{"runs":[{"text":"richard pates","navigationEndpoint":{"clickTrackingParams":"COQBEKQwGAIiEwjmuLi5lvWLAxXmdnoFHadbBnQyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@richard_pates","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCVJnlQEfsEYlKrFZVRktAZA","canonicalBaseUrl":"/@richard_pates"}}}]},"publishedTimeText":{"simpleText":"4 years ago"},"viewCountText":{"simpleText":"5,165 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"14 minutes, 48 seconds"}},"simpleText":"14:48"},"navigationEndpoint":{"clickTrackingParams":"COQBEKQwGAIiEwjmuLi5lvWLAxXmdnoFHadbBnQyB3JlbGF0ZWRIzP2YvceV1Kw7mgEFCAEQ-B0=","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=3SbaONTk1mU","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"3SbaONTk1mU","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr1---sn-uxaxiv0nxx5q-nv4l.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=dd26da38d4e4d665 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 cmsv=s mt=1741012606 oweuc="}}}}},"shortBylineText":{"runs":[{"text":"richard pates","navigationEndpoint":{"clickTrackingParams":"COQBEKQwGAIiEwjmuLi5lvWLAxXmdnoFHadbBnQyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@richard_pates","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCVJnlQEfsEYlKrFZVRktAZA","canonicalBaseUrl":"/@richard_pates"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/hPGu_EtDjN8hB1dVKh-IanUVm1KjXEb4Q3XGKUp6uOgRFnMH3LJi0mA9kEW7ZHMvP9HwbekHetE=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"COQBEKQwGAIiEwjmuLi5lvWLAxXmdnoFHadbBnRA5ayTp43HtpPdAQ==","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"5.1K views"}},"simpleText":"5.1K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"COkBEP6YBBgGIhMI5ri4uZb1iwMV5nZ6BR2nWwZ0","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"COkBEP6YBBgGIhMI5ri4uZb1iwMV5nZ6BR2nWwZ0","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"3SbaONTk1mU","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"COkBEP6YBBgGIhMI5ri4uZb1iwMV5nZ6BR2nWwZ0","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["3SbaONTk1mU"],"params":"CAQ%3D"}},"videoIds":["3SbaONTk1mU"]}},{"clickTrackingParams":"COkBEP6YBBgGIhMI5ri4uZb1iwMV5nZ6BR2nWwZ0","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"COoBELlqIhMI5ri4uZb1iwMV5nZ6BR2nWwZ0"}},"popupType":"TOAST"}}]}},"trackingParams":"COkBEP6YBBgGIhMI5ri4uZb1iwMV5nZ6BR2nWwZ0"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"COgBENGqBRgHIhMI5ri4uZb1iwMV5nZ6BR2nWwZ0","offlineVideoEndpoint":{"videoId":"3SbaONTk1mU","onAddCommand":{"clickTrackingParams":"COgBENGqBRgHIhMI5ri4uZb1iwMV5nZ6BR2nWwZ0","getDownloadActionCommand":{"videoId":"3SbaONTk1mU","params":"CAIQAA%3D%3D"}}}},"trackingParams":"COgBENGqBRgHIhMI5ri4uZb1iwMV5nZ6BR2nWwZ0"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"COQBEKQwGAIiEwjmuLi5lvWLAxXmdnoFHadbBnQ=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgszU2JhT05UazFtVQ%3D%3D","commands":[{"clickTrackingParams":"COQBEKQwGAIiEwjmuLi5lvWLAxXmdnoFHadbBnQ=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"COcBEI5iIhMI5ri4uZb1iwMV5nZ6BR2nWwZ0","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"COQBEKQwGAIiEwjmuLi5lvWLAxXmdnoFHadbBnQ=","hasSeparator":true}}],"trackingParams":"COQBEKQwGAIiEwjmuLi5lvWLAxXmdnoFHadbBnQ=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"14 minutes, 48 seconds"}},"simpleText":"14:48"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"COYBEPnnAxgBIhMI5ri4uZb1iwMV5nZ6BR2nWwZ0","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"3SbaONTk1mU","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"COYBEPnnAxgBIhMI5ri4uZb1iwMV5nZ6BR2nWwZ0","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"3SbaONTk1mU"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"COYBEPnnAxgBIhMI5ri4uZb1iwMV5nZ6BR2nWwZ0"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"COUBEMfsBBgCIhMI5ri4uZb1iwMV5nZ6BR2nWwZ0","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"COUBEMfsBBgCIhMI5ri4uZb1iwMV5nZ6BR2nWwZ0","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"3SbaONTk1mU","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"COUBEMfsBBgCIhMI5ri4uZb1iwMV5nZ6BR2nWwZ0","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["3SbaONTk1mU"],"params":"CAQ%3D"}},"videoIds":["3SbaONTk1mU"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"COUBEMfsBBgCIhMI5ri4uZb1iwMV5nZ6BR2nWwZ0"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"Limit cycles - 14 minutes, 48 seconds - Go to channel - richard pates - 5.1K views - 4 years ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"movingThumbnailDetails":{"thumbnails":[{"url":"https://i.ytimg.com/an_webp/3SbaONTk1mU/mqdefault_6s.webp?du=3000 sqp=CMqppb4G rs=AOn4CLDWB11kZWOshrxuKurDfQRA1gYG0Q","width":320,"height":180}],"logAsMovingThumbnail":true},"enableHoveredLogging":true,"enableOverlay":true}}}},{"lockupViewModel":{"contentImage":{"collectionThumbnailViewModel":{"primaryThumbnail":{"thumbnailViewModel":{"image":{"sources":[{"url":"https://i.ytimg.com/vi/ycJEoqmQvwg/hqdefault.jpg?sqp=-oaymwEWCKgBEF5IWvKriqkDCQgBFQAAiEIYAQ== rs=AOn4CLA8wjv4fxYZgF7B8fJLHRiaK1Gikw","width":168,"height":94},{"url":"https://i.ytimg.com/vi/ycJEoqmQvwg/hqdefault.jpg?sqp=-oaymwEXCNACELwBSFryq4qpAwkIARUAAIhCGAE= rs=AOn4CLBbnGm7mvDkyKJVgYlcMeorFzEwuQ","width":336,"height":188}]},"overlays":[{"thumbnailOverlayBadgeViewModel":{"thumbnailBadges":[{"thumbnailBadgeViewModel":{"icon":{"sources":[{"clientResource":{"imageName":"PLAYLISTS"}}]},"text":"25 videos","badgeStyle":"THUMBNAIL_OVERLAY_BADGE_STYLE_DEFAULT","backgroundColor":{"lightTheme":3355443,"darkTheme":3355443}}}],"position":"THUMBNAIL_OVERLAY_BADGE_POSITION_BOTTOM_END"}},{"thumbnailHoverOverlayViewModel":{"icon":{"sources":[{"clientResource":{"imageName":"PLAY_ALL"}}]},"text":{"content":"Play all","styleRuns":[{"startIndex":0,"length":8}]},"style":"THUMBNAIL_HOVER_OVERLAY_STYLE_COVER"}}],"backgroundColor":{"lightTheme":3684408,"darkTheme":3684408}}},"stackColor":{"lightTheme":10066329,"darkTheme":9211020}}},"metadata":{"lockupMetadataViewModel":{"title":{"content":"Nonlinear Dynamics and Chaos - Steven Strogatz, Cornell University"},"metadata":{"contentMetadataViewModel":{"metadataRows":[{"metadataParts":[{"text":{"content":"Cornell MAE

#############################









Content Report
Youtor.org / YTube video Downloader © 2025

created by www.youtor.org