Chaos controlling self-sustained electromechanical seismograph system based on the Melnikov theory

DOI10.1007/s11071-010-9725-3zbMath1209.93068OpenAlexW2083918749MaRDI QIDQ619569

Sumit K. Garg

Publication date: 25 January 2011

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-010-9725-3

zbMATH Keywords

chaosbifurcationheteroclinic orbithomoclinic orbitMelnikovantimonotonicityelectromechanical seismograph

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Control problems involving ordinary differential equations (34H05) Control/observation systems governed by ordinary differential equations (93C15) Homoclinic and heteroclinic orbits for dynamical systems (37C29)

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Cites Work

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• Dynamics and chaos control in nonlinear electrostatic transducers
• Resonant oscillation and homoclinic bifurcation in a \(\Phi^{6}\)-van der Pol oscillator
• Dynamics of a self-sustained electromechanical system with flexible arm and cubic coupling
• Nonlinear response of a self-sustained electromechanical seismographs to fifth resonance excitations and chaos control
• CHAOS, CHAOS CONTROL AND SYNCHRONIZATION OF ELECTRO-MECHANICAL GYROSTAT SYSTEM
• HARMONIC OSCILLATIONS, STABILITY AND CHAOS CONTROL IN A NON-LINEAR ELECTROMECHANICAL SYSTEM
• Melnikov’s method and Arnold diffusion for perturbations of integrable Hamiltonian systems
• Controlling chaos
• Taming chaotic dynamics with weak periodic perturbations

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