SUPPRESSING OR INDUCING CHAOS BY WEAK RESONANT EXCITATIONS IN AN EXTERNALLY-FORCED FROUDE PENDULUM

DOI10.1142/S0218127404009673zbMath1086.37525MaRDI QIDQ4669110

Hongjun Cao, Xuebin Chi, Guan-Rong Chen

Publication date: 15 April 2005

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

zbMATH Keywords

Melnikov functioncontrolling chaoschaotic vibrationsquasiperiodic rotations

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Forced motions for nonlinear problems in mechanics (70K40) Control of mechanical systems (70Q05) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Qualitative investigation and simulation of ordinary differential equation models (34C60) Dynamical systems in classical and celestial mechanics (37N05)

Related Items (8)

HOMOCLINIC BIFURCATION AND CHAOS IN Φ⁶-RAYLEIGH OSCILLATOR WITH THREE WELLS DRIVEN BY AN AMPLITUDE MODULATED FORCE ⋮ Numerical and experimental exploration of phase control of chaos ⋮ COMPLEX DYNAMICS IN A PENDULUM EQUATION WITH A PHASE SHIFT ⋮ Inhibition of chaos in a pendulum equation ⋮ Chaos control in a special pendulum system for ultra-subharmonic resonance ⋮ Robust Hyperbolic Chaos in Froude Pendulum with Delayed Feedback and Periodic Braking ⋮ GLOBAL AND LOCAL CONTROL OF HOMOCLINIC AND HETEROCLINIC BIFURCATIONS ⋮ Chaos control in a pendulum system with excitations and phase shift

Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Determining Lyapunov exponents from a time series

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