Chaos in the softening Duffing system under multi-frequency periodic forces
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Publication:2505306
DOI10.1007/BF02438300zbMath1142.70330OpenAlexW2319627225MaRDI QIDQ2505306
Shijian Zhu, Jingjun Lou, Qiwei He
Publication date: 4 October 2006
Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02438300
Forced motions for nonlinear problems in mechanics (70K40) Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Dynamical systems in classical and celestial mechanics (37N05)
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Cites Work
- The 1/2 subharmonic resonance and its transition to chaotic motion in a nonlinear oscillator
- The bifurcation to homoclinic tori in the quasiperiodically forced Duffing oscillator
- Homoclinic tangles, phase locking, and chaos in a two-frequency perturbation of Duffing's equation
- Bifurcation in a nonlinear Duffing system with multi-frequency external periodic forces
- Dynamics of a two-frequency parametrically driven Duffing oscillator
- A property of a stochastic response with bifurcation of a non-linear system
- Combined bifurcations and transition to chaos in a non-linear oscillator with two external periodic forces
- On the transition from regular to chaotic behaviour in the Duffing oscillator
- Construction of chaotic regions
- Chaos in a Weakly Nonlinear Oscillator With Parametric and External Resonances
- Chaotic Dynamics of a Quasi-Periodically Forced Beam
- Dynamics of a Weakly Nonlinear System Subjected to Combined Parametric and External Excitation
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