\(N\)-dimensional zero-Hopf bifurcation of polynomial differential systems via averaging theory of second order

DOI10.1007/s10883-020-09501-6zbMath1477.34062OpenAlexW3039212132MaRDI QIDQ2660567

Yanyan Li

Publication date: 30 March 2021

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10883-020-09501-6

zbMATH Keywords

limit cycleaveraging theoryzero-Hopf bifurcation

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Averaging method for ordinary differential equations (34C29) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07)

Related Items (1)

Four-dimensional zero-Hopf bifurcation of quadratic polynomial differential system, via averaging theory of third order

Cites Work

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• Averaging methods for finding periodic orbits via Brouwer degree.
• 3-dimensional Hopf bifurcation via averaging theory
• Limit cycles of the generalized polynomial Liénard differential equations
• Averaging methods in nonlinear dynamical systems

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