Duffing-van der Pol-type oscillator systems

DOI10.3934/dcdss.2014.7.1231zbMath1308.34004OpenAlexW2316679707MaRDI QIDQ478911

Zhao-sheng Feng

Publication date: 5 December 2014

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

Full work available at URL: https://doi.org/10.3934/dcdss.2014.7.1231

zbMATH Keywords

diffeomorphismbifurcationinfinitesimal generatorDuffing equationfirst integralvan der Pol oscillatorLie symmetryautonomous system

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Symmetries, invariants of ordinary differential equations (34C14) Explicit solutions, first integrals of ordinary differential equations (34A05) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Bifurcations of singular points in dynamical systems (37G10)

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