Active control of horseshoes chaos in a driven Rayleigh oscillator with fractional order deflection

DOI10.1016/j.physleta.2011.07.049zbMath1252.70043OpenAlexW2066437264MaRDI QIDQ691919

M. C. Fu

Publication date: 4 December 2012

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2011.07.049

zbMATH Keywords

active controlMelnikov chaosRayleigh oscillatorfractional order deflection

Mathematics Subject Classification ID

Feedback control (93B52) Nonlinear ordinary differential equations and systems (34A34) Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Control of mechanical systems (70Q05) Parametric resonances for nonlinear problems in mechanics (70K28) Fractional ordinary differential equations (34A08) Chaos control for problems involving ordinary differential equations (34H10)

Related Items

Vibrational Resonance in an Overdamped System with a Fractional Order Potential Nonlinearity, Operator-based approach for the construction of analytical soliton solutions to nonlinear fractional-order differential equations, Existence and stability of solutions for linear and nonlinear damping of \(q\)-fractional Duffing-Rayleigh problem, Recurrence analysis and synchronization of oscillators with coexisting attractors, Suppression of chaos in a generalized Duffing oscillator with fractional-order deflection, Effect of parametric excitation on a bifractional-order damped system with a fractional-power nonlinearity

Cites Work

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