Effect of bounded noise on chaotic motion of a triple-well potential system

DOI10.1016/J.CHAOS.2004.12.005zbMath1092.37532OpenAlexW2036863602MaRDI QIDQ2483632

Wei Xu, Xiaoli Yang, Tong Fang, Zhongkui Sun

Publication date: 25 July 2005

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2004.12.005

zbMATH Keywords

Lyapunov exponentsPoincaré mapsDuffing oscillatorchaotic behaviornumerical simulationhomoclinic and heteroclinic orbitshomoclinic or heteroclinic bifurcationharmonic and bounded noise

Mathematics Subject Classification ID

Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Random vibrations in mechanics of particles and systems (70L05) Dynamical systems in classical and celestial mechanics (37N05) Hyperbolic singular points with homoclinic trajectories in dynamical systems (37G20)

Related Items (6)

On the occurrence of chaos in a parametrically driven extended Rayleigh oscillator with three-well potential ⋮ EFFECT OF GAUSSIAN WHITE NOISE ON THE DYNAMICAL BEHAVIORS OF AN EXTENDED DUFFING–VAN DER POL OSCILLATOR ⋮ Effect of bounded noise on chaotic motions of stochastically perturbed slowly varying oscillator ⋮ Effect of random noise on chaotic motion of a particle in a \(\phi^{6}\) potential ⋮ Effect of bounded noise on the chaotic motion of a Duffing-Van der Pol oscillator in a \(\phi^{6}\) potential ⋮ Classification of homoclinic tangencies for periodically perturbed systems

Cites Work

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• Analysis of a Nonlinear System Exhibiting Chaotic, Noisy Chaotic, and Random Behaviors
• Homoclinic and heteroclinic chaos in a triple-well oscillator

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