Stochastic chaos in a Duffing oscillator and its control

DOI10.1016/j.chaos.2005.04.035zbMath1102.37312OpenAlexW1980899039MaRDI QIDQ813762

Tong Fang, Youming Lei, Cunli Wu

Publication date: 13 February 2006

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

Full work available at URL: https://doi.org/10.1016/j.chaos.2005.04.035

zbMATH Keywords

controlchaosDuffing oscillatorLyapunov exponentadjusting the noise levelsystem with random parameters

Mathematics Subject Classification ID

Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Control of mechanical systems (70Q05) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Complex behavior and chaotic systems of ordinary differential equations (34C28) Dynamical systems in classical and celestial mechanics (37N05)

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Cites Work

• Determining Lyapunov exponents from a time series
• Chaos control by nonfeedback methods in the presence of noise
• Chaos control by harmonic excitation with proper random phase
• Controlling chaos
• Taming chaotic dynamics with weak periodic perturbations
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