Dynamics and active control of motion of a particle in a \(\phi^6\) potential with a parametric forcing
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Publication:1600326
DOI10.1016/S0167-2789(02)00447-5zbMath1071.70015MaRDI QIDQ1600326
Publication date: 12 June 2002
Published in: Physica D (Search for Journal in Brave)
Bifurcations and instability for nonlinear problems in mechanics (70K50) Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Control of mechanical systems (70Q05)
Related Items (17)
Active control of extended Van der Pol equation ⋮ Nonlinear Analysis of the Tristable Energy Harvester with a Resonant Circuit for Performance Enhancement ⋮ Modelling of the dynamics of Euler's beam by \(\phi^6\) potential ⋮ Stochastic response of a \(\phi^6\) oscillator subjected to combined harmonic and Poisson white noise excitations ⋮ EFFECT OF GAUSSIAN WHITE NOISE ON THE DYNAMICAL BEHAVIORS OF AN EXTENDED DUFFING–VAN DER POL OSCILLATOR ⋮ DYNAMICS AND ACTIVE CONTROL OF MOTION OF A DRIVEN MULTI-LIMIT-CYCLE VAN DER POL OSCILLATOR ⋮ Chaos controlling self-sustained electromechanical seismograph system based on the Melnikov theory ⋮ Dynamics of cubic-quintic nonlinear \(\mathcal{PT}\)-symmetry mechanical oscillators ⋮ Passive aerodynamics control of plasma instabilities ⋮ Approximate solutions and their stability of a broadband piezoelectric energy harvester with a tunable potential function ⋮ Theoretical analysis of multi-stable energy harvesters with high-order stiffness terms ⋮ Nonlinear dynamic analysis of asymmetric tristable energy harvesters for enhanced energy harvesting ⋮ Active control with delay of vibration and chaos in a double-well Duffing oscillator ⋮ Effects of passive hydrodynamics force on harmonic and chaotic oscillations in nonlinear chemical dynamics ⋮ ANTISYNCHRONIZATION OF IDENTICAL AND NONIDENTICAL Φ6 VAN DER POL AND Φ6 DUFFING OSCILLATORS WITH BOTH PARAMETRIC AND EXTERNAL EXCITATIONS VIA BACKSTEPPING APPROACH ⋮ BACKSTEPPING CONTROL AND SYNCHRONIZATION OF PARAMETRICALLY AND EXTERNALLY EXCITED Φ6 VAN DER POL OSCILLATORS WITH APPLICATION TO SECURE COMMUNICATIONS ⋮ Synchronization via active control of parametrically and externally excited Φ6 Van der Pol and Duffing oscillators and application to secure communications
Cites Work
- Homoclinic and heteroclinic bifurcations in the non-linear dynamics of a beam resting on an elastic substrate
- On chaos and fractal behavior in a generalized Duffing's system
- Stability, bifurcation and chaos of nonlinear structures with control. II: Non-autonomous case
- Periodic solution of a Mathieu-Duffing type equation
- Parametric excitations of linear systems having many degrees of freedom
- Resonant oscillations and fractal basin boundaries of a particle in a \(\phi ^6\) potential
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