Inhibition of chaos in a pendulum equation

DOI10.1016/J.CHAOS.2006.05.065zbMath1142.37373OpenAlexW2047403419MaRDI QIDQ2477326

Zhu-jun Jing, Jian-Ping Yang

Publication date: 13 March 2008

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2006.05.065

zbMATH Keywords

periodic orbitsparametric excitationnumerical simulationsmaximum Lyapunov exponenthomoclinic chaosheteroclinic chaosMelnikov methodsregions of chaotic statesregions of non-chaotic states

Mathematics Subject Classification ID

Forced motions for nonlinear problems in mechanics (70K40) Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Periodic orbits of vector fields and flows (37C27) Dynamical systems in classical and celestial mechanics (37N05) Homoclinic and heteroclinic orbits for dynamical systems (37C29)

Related Items (6)

Control of chaos in a three-well Duffing system ⋮ Controlling chaos in a pendulum equation with ultra-subharmonic resonances ⋮ Analytical proof on the existence of chaos in a generalized Duffing-type oscillator with fractional-order deflection ⋮ Chaos control in a pendulum system with excitations ⋮ Chaos control in a special pendulum system for ultra-subharmonic resonance ⋮ Chaos control in a pendulum system with excitations and phase shift

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Feedback controlling against chaos
• Global bifurcations and chaos. Analytical methods
• Chaos control of Chen chaotic dynamical system.
• Stabilizing periodic orbits in a chaotic semiconductor laser.
• Suppression of chaos in averaged oscillator driven by external and parametric excitations
• Chaos control in a nonlinear pendulum using a semi-continuous method
• Robustness in the suppression of bidirectional chaotic escape from a potential well by weak parametric excitations
• Chaos control of chaotic pendulum system
• Nonlinear feedback control of chaotic pendulum in presence of saturation effect
• Controlling Chaos in a Pendulum Subjected to Feedforward and Feedback Control
• Controlling chaos
• Taming chaotic dynamics with weak periodic perturbations
• SUPPRESSING OR INDUCING CHAOS BY WEAK RESONANT EXCITATIONS IN AN EXTERNALLY-FORCED FROUDE PENDULUM
• BIFURCATION CONTROL: THEORIES, METHODS, AND APPLICATIONS

This page was built for publication: Inhibition of chaos in a pendulum equation