Active control with delay of catastrophic motion and horseshoes chaos in a single well Duffing oscillator

DOI10.1016/J.CHAOS.2004.05.041zbMath1071.37061OpenAlexW2060336737WikidataQ60361225 ScholiaQ60361225MaRDI QIDQ1771669

Y. Salissou, B. R. Nana Nbendjo, Paul Woafo

Publication date: 18 April 2005

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

Full work available at URL: https://doi.org/10.1016/j.chaos.2004.05.041

zbMATH Keywords

potentialtime delayscatastropheMelnikov chaoscontrol of escapecritical forcing amplitudes

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Control of mechanical systems (70Q05) Dynamical systems in control (37N35) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Dynamical systems in classical and celestial mechanics (37N05)

Related Items (9)

Delay-induced stochastic bifurcations in a bistable system under white noise ⋮ Delay-induced Synchronization on a Dynamical Network of Euler’s Beams Indirectly Interconnected via a Piezoelectric Semi-active Control ⋮ Stability and Hopf bifurcation of a nonlinear oscillator with multiple time-delays ⋮ Analytical estimates of the effect of amplitude modulated signal in nonlinearly damped Duffing-van der Pol oscillator ⋮ Passive aerodynamics control of plasma instabilities ⋮ Active control of horseshoes chaos in a driven Rayleigh oscillator with fractional order deflection ⋮ Resonance, stability and chaotic vibration of a quarter-car vehicle model with time-delay feedback ⋮ Multistability and fast-slow analysis for van der Pol-Duffing oscillator with varying exponential delay feedback factor ⋮ Inducing or suppressing chaos in a double-well Duffing oscillator by time delay feedback

Cites Work

• Stability, bifurcation and chaos of nonlinear structures with control. II: Non-autonomous case
• Active control with delay of vibration and chaos in a double-well Duffing oscillator
• Chaotic phenomena triggering the escape from a potential well

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