Global computation of phase-amplitude reduction for limit-cycle dynamics

DOI10.1063/1.5030175zbMath1401.37034arXiv1803.07379OpenAlexW3103003460WikidataQ90708460 ScholiaQ90708460MaRDI QIDQ4683666

Igor Mezić, Alexandre Mauroy

Publication date: 21 September 2018

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.07379

zbMATH Keywords

limit cyclesKoopman operatorclassic phase reduction

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Dynamics induced by flows and semiflows (37C10) Stability theory for smooth dynamical systems (37C75)

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