Heteroclinic orbit and subharmonic bifurcations and chaos of nonlinear oscillator

DOI10.1007/BF02457367zbMath0760.70018MaRDI QIDQ1200083

Quanzhong Huo, Wei Zhang, Li Li

Publication date: 17 January 1993

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

zbMATH Keywords

parametric excitationMelnikov's methodSmale horseshoesforcing excitationvan der Pol damping

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (1)

Chaotic motion and control of the driven-damped double sine-Gordon equation

Cites Work

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• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Heteroclinic orbits for retarded functional differential equations
• Phase portraits and bifurcations of the non-linear oscillator: \(x+(\alpha+\gamma x^ 2)x'+\beta x+\delta x^ 3=0\)
• Fourier series of rational fractions of Jacobian elliptic functions
• Power spectra of chaotic vibrations of a buckled beam
• Repeated Resonance and Homoclinic Bifurcation in a Periodically Forced Family of Oscillators
• Averaging and Chaotic Motions in Forced Oscillations
• Differentiable dynamical systems

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