Global dynamics of hybrid van der Pol-Rayleigh oscillators

DOI10.1016/j.physd.2021.133021zbMath1496.34063OpenAlexW3204964606MaRDI QIDQ2077794

Hebai Chen, Dongmei Xiao, Yilei Tang

Publication date: 22 February 2022

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2021.133021

zbMATH Keywords

limit cyclesphase portraitsglobal bifurcation diagramvan der Pol-Rayleigh oscillator

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) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) 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 (max. 100)

Limit Cycles in Discontinuous Piecewise Linear Planar Hamiltonian Systems Without Equilibrium Points ⋮ New criterions on stability and order of analytic nilpotent foci ⋮ On the existence and uniqueness of limit cycles for hybrid oscillators

Cites Work

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• Qualitative theory of planar differential systems
• Sopra l'equazione di A. Lienard delle oscillazioni di rilassamento
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• A general equation for relaxation oscillations
• Balthazar Van Der Pol
• Elements of applied bifurcation theory

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