GLOBAL AND LOCAL CONTROL OF HOMOCLINIC AND HETEROCLINIC BIFURCATIONS
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Publication:5474301
DOI10.1142/S0218127405013393zbMath1092.37519MaRDI QIDQ5474301
Publication date: 23 June 2006
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Optimality conditions for problems involving ordinary differential equations (49K15) Local and nonlocal bifurcation theory for dynamical systems (37G99)
Related Items (9)
Control of homoclinic bifurcation in two-dimensional dynamical systems by a feedback law based on \(L^p\) spaces ⋮ Melnikov chaos in a periodically driven Rayleigh-Duffing oscillator ⋮ Transition to chaos in the self-excited system with a cubic double well potential and parametric forcing ⋮ On the occurrence of chaos in a parametrically driven extended Rayleigh oscillator with three-well potential ⋮ Control of chaos in a three-well Duffing system ⋮ Analytical estimates of the effect of amplitude modulated signal in nonlinearly damped Duffing-van der Pol oscillator ⋮ Chaos control in a pendulum system with excitations ⋮ The effect of symmetry-breaking on the parameterically excited pendulum ⋮ Chaos control in a pendulum system with excitations and phase shift
Cites Work
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- Optimal control of nonregular dynamics in a Duffing oscillator
- Suppressing or inducing chaos in a model of robot arms and mechanical manipulators
- Criteria for chaos of a three-well potential oscillator with homoclinic and heteroclinic orbits
- The Mel’nikov Technique for Highly Dissipative Systems
- Taming chaotic dynamics with weak periodic perturbations
- SUPPRESSING OR INDUCING CHAOS BY WEAK RESONANT EXCITATIONS IN AN EXTERNALLY-FORCED FROUDE PENDULUM
- Optimal Control of Homoclinic Bifurcation: Theoretical Treatment and Practical Reduction of Safe Basin Erosion in the Helmholtz Oscillator
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