{"type":"standard","title":"Van der Pol oscillator","displaytitle":"Van der Pol oscillator","namespace":{"id":0,"text":""},"wikibase_item":"Q2081515","titles":{"canonical":"Van_der_Pol_oscillator","normalized":"Van der Pol oscillator","display":"Van der Pol oscillator"},"pageid":1961786,"thumbnail":{"source":"https://upload.wikimedia.org/wikipedia/commons/thumb/4/46/Van_der_Pol_oscillator_phase_plot_01.webm/320px--Van_der_Pol_oscillator_phase_plot_01.webm.jpg","width":320,"height":320},"originalimage":{"source":"https://upload.wikimedia.org/wikipedia/commons/thumb/4/46/Van_der_Pol_oscillator_phase_plot_01.webm/1600px--Van_der_Pol_oscillator_phase_plot_01.webm.jpg","width":1600,"height":1600},"lang":"en","dir":"ltr","revision":"1252776415","tid":"5c65c408-90c2-11ef-b800-805544f68e75","timestamp":"2024-10-22T22:09:52Z","description":"Oscillating dynamical system with nonlinear damping","description_source":"local","content_urls":{"desktop":{"page":"https://en.wikipedia.org/wiki/Van_der_Pol_oscillator","revisions":"https://en.wikipedia.org/wiki/Van_der_Pol_oscillator?action=history","edit":"https://en.wikipedia.org/wiki/Van_der_Pol_oscillator?action=edit","talk":"https://en.wikipedia.org/wiki/Talk:Van_der_Pol_oscillator"},"mobile":{"page":"https://en.m.wikipedia.org/wiki/Van_der_Pol_oscillator","revisions":"https://en.m.wikipedia.org/wiki/Special:History/Van_der_Pol_oscillator","edit":"https://en.m.wikipedia.org/wiki/Van_der_Pol_oscillator?action=edit","talk":"https://en.m.wikipedia.org/wiki/Talk:Van_der_Pol_oscillator"}},"extract":"In the study of dynamical systems, the van der Pol oscillator is a non-conservative, oscillating system with non-linear damping. It evolves in time according to the second-order differential equation\n\nwhere x is the position coordinate—which is a function of the time t—and μ is a scalar parameter indicating the nonlinearity and the strength of the damping.","extract_html":"
In the study of dynamical systems, the van der Pol oscillator is a non-conservative, oscillating system with non-linear damping. It evolves in time according to the second-order differential equation\n![](\"https://wikimedia.org/api/rest_v1/media/math/render/svg/99e33aa1bcd07cd6ce8cf2cf5bd9d630c3b0d21e\")
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{"fact":"A cat\u2019s nose pad is ridged with a unique pattern, just like the fingerprint of a human.","length":87}
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