HOMOCLINIC BIFURCATION AND CHAOS IN COUPLED SIMPLE PENDULUM AND HARMONIC OSCILLATOR UNDER BOUNDED NOISE EXCITATION

DOI10.1142/S0218127405012132zbMath1140.70472OpenAlexW2104348456MaRDI QIDQ4675700

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Publication date: 6 May 2005

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

Full work available at URL: https://doi.org/10.1142/s0218127405012132

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Bifurcations and instability for nonlinear problems in mechanics (70K50) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Complex behavior and chaotic systems of ordinary differential equations (34C28)

Related Items (2)

Connecting orbits in perturbed systems ⋮ TWO-COUPLED PENDULUM SYSTEM: BIFURCATION, CHAOS AND THE POTENTIAL LANDSCAPE APPROACH

Cites Work

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• Horseshoes in perturbations of Hamiltonian systems with two degrees of freedom
• Chaos control by nonfeedback methods in the presence of noise
• Effect of bounded noise on chaotic motion of Duffing oscillator under parametric excitation
• A nonlinear oscillator with a strange attractor
• Analysis of a Nonlinear System Exhibiting Chaotic, Noisy Chaotic, and Random Behaviors
• Invariant measure of a driven nonlinear oscillator with external noise

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