Strongly resonant bifurcations of nonlinearly coupled van der Pol-Duffing oscillator

DOI10.1007/BF02459275zbMath0940.70016MaRDI QIDQ1305391

Kelei Huang, Qi-Shao Lu, Chun-Biao Gan

Publication date: 24 July 2000

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

zbMATH Keywords

quasi-periodic motionsmulti-scale methodperiodic motionscoupled van der Pol-Duffing oscillatorfrequency-locking motionsstrongly resonant bifurcations

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Bifurcations and instability for nonlinear problems in mechanics (70K50) Nonlinear resonances for nonlinear problems in mechanics (70K30)

Related Items (1)

Bifurcation of periodic solutions and invariant tori for a four-dimensional system

Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Perturbation methods in applied mathematics
• A modified Lindstedt-Poincaré method for certain strongly non-linear oscillators
• A perturbation-incremental method for strongly nonlinear oscillators
• A MODIFIED LINDSTEDT–POINCARE METHOD FOR A STRONGLY NON-LINEAR TWO DEGREE-OF-FREEDOM SYSTEM
• Unnamed Item
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