CHAOTIC BEHAVIOR AND SUBHARMONIC BIFURCATIONS FOR A ROTATING PENDULUM EQUATION

DOI10.1142/S0218127404011478zbMath1129.70326OpenAlexW2017063302MaRDI QIDQ4655730

Li-Juan Chen, Ji-Bin Li

Publication date: 8 March 2005

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

Full work available at URL: https://doi.org/10.1142/s0218127404011478

zbMATH Keywords

Melnikov methodelliptic integralsubharmonic bifurcationsChaotic behaviordynamics of stochastic and resonant layerparametric and forced excitation

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Forced motions for nonlinear problems in mechanics (70K40) Bifurcations and instability for nonlinear problems in mechanics (70K50) Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (8)

A new Lyapunov approach for global synchronization of non-autonomous chaotic systems ⋮ COMPLEX DYNAMICS IN A PENDULUM EQUATION WITH A PHASE SHIFT ⋮ Chaos control in a special pendulum system for ultra-subharmonic resonance ⋮ SYNCHRONIZATION OF A CLASS OF MASTER–SLAVE NONAUTONOMOUS CHAOTIC SYSTEMS WITH PARAMETER MISMATCH VIA SINUSOIDAL FEEDBACK CONTROL ⋮ Chaos and chaos synchronization for a non-autonomous rotational machine systems ⋮ Global chaos synchronization of the parametrically excited duffing oscillators by linear state error feedback control ⋮ Unnamed Item ⋮ Adaptive sliding mode control for chaotic synchronization of oscillator with input nonlinearity

Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• The dynamics of stochastic and resonant layers in a periodically driven pendulum
• CRITICAL FORCING FOR HOMOCLINIC AND HETEROCLINIC ORBITS OF A ROTATING PENDULUM

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