DYNAMICS AND ACTIVE CONTROL OF MOTION OF A DRIVEN MULTI-LIMIT-CYCLE VAN DER POL OSCILLATOR

DOI10.1142/S0218127407017847zbMath1142.34022OpenAlexW2014143719MaRDI QIDQ3498734

H. G. Enjieu Kadji, B. R. Nana Nbendjo, Rene Yamapi

Publication date: 16 May 2008

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127407017847

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Control problems involving ordinary differential equations (34H05) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (10)

Bifurcations in a Time-Delayed Birhythmic Biological System with Fractional Derivative and Lévy Noise ⋮ Melnikov Chaos in a Modified Rayleigh–Duffing Oscillator with ϕ6 Potential ⋮ Stability of the synchronization manifold in nearest neighbor nonidentical van der Pol-like oscillators ⋮ Lévy noise induced transitions and enhanced stability in a birhythmic Van der Pol system ⋮ Passive aerodynamics control of plasma instabilities ⋮ Systematic designing of bi-rhythmic and tri-rhythmic models in families of Van der Pol and Rayleigh oscillators ⋮ Bifurcations in a fractional birhythmic biological system with time delay ⋮ Reduction of kinetic equations to Liénard-Levinson-Smith form: counting limit cycles ⋮ Control of birhythmicity: A self-feedback approach ⋮ Suppressing birhythmicity by parametrically modulating nonlinearity in limit cycle oscillators

Cites Work

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• Linear feedback and parametric controls of vibrations and chaotic escape in a \(\phi ^{6}\) potential
• Stability, bifurcation and chaos of nonlinear structures with control. I: Autonomous case
• 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
• Dynamics and active control of motion of a particle in a \(\phi^6\) potential with a parametric forcing
• HARMONIC OSCILLATIONS, STABILITY AND CHAOS CONTROL IN A NON-LINEAR ELECTROMECHANICAL SYSTEM
• BIFURCATION STRUCTURE OF A DRIVEN, MULTI-LIMIT-CYCLE VAN DER POL OSCILLATOR (I): THE SUPERHARMONIC RESONANCE STRUCTURE
• BIFURCATION STRUCTURE OF A DRIVEN MULTI-LIMIT-CYCLE VAN DER POL OSCILLATOR (II): SYMMETRY-BREAKING CRISIS AND INTERMITTENCY

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