A nonsmooth van der Pol-Duffing oscillator. II: The sum of indices of equilibria is \(1\)

DOI10.3934/DCDSB.2021101zbMath1497.34057OpenAlexW4247298609MaRDI QIDQ2669207

Hebai Chen, Zhaoxia Wang

Publication date: 9 March 2022

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2021101

zbMATH Keywords

Hopf bifurcationlimit cycle bifurcationglobal phase portrait

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) Discontinuous ordinary differential equations (34A36) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (1)

Global phase portraits of the generalized van der Pol systems

Cites Work

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• Global phase portrait of a degenerate Bogdanov-Takens system with symmetry
• Global phase portraits of a degenerate Bogdanov-Takens system with symmetry. II
• Cubic Lienard equations with linear damping
• Generalized normal sectors and orbits in exceptional directions
• Global dynamics of a quintic Liénard system with Z2 -symmetry I: saddle case

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