Bifurcation in a nonlinear Duffing system with multi-frequency external periodic forces
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Publication:1289436
DOI10.1007/BF02457679zbMath0921.70015MaRDI QIDQ1289436
Zhiqiang Wu, Qinsheng Bi, Yu-Shu Chen
Publication date: 31 May 1999
Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)
Stability for nonlinear problems in mechanics (70K20) Forced motions for nonlinear problems in mechanics (70K40) Local and nonlocal bifurcation theory for dynamical systems (37G99)
Related Items
Homotopy analysis method for approximations of Duffing oscillator with dual frequency excitations ⋮ Antiperiodic oscillations in a forced Duffing oscillator ⋮ Chaos in the softening Duffing system under multi-frequency periodic forces
Cites Work
- 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
