RESHAPING-INDUCED CONTROL OF CHAOS AND CRISIS PHENOMENA IN A DAMPED, PARAMETRICALLY DRIVEN PENDULUM

DOI10.1142/S0218127407017483zbMath1140.70474OpenAlexW2017236283MaRDI QIDQ3512556

A. Martínez García-Hoz, J. A. Martínez, Ricardo Chacón

Publication date: 21 July 2008

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

Full work available at URL: https://doi.org/10.1142/s0218127407017483

Mathematics Subject Classification ID

Forced motions for nonlinear problems in mechanics (70K40) Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Dynamical systems in classical and celestial mechanics (37N05)

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Cites Work

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• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Subharmonic and homoclinic bifurcations in a parametrically forced pendulum
• Lyapunov exponents for a Duffing oscillator
• Rotating periodic orbits of the parametrically excited pendulum
• BEHAVIOR OF DYNAMICAL SYSTEMS SUBJECTED TO CONTINUOUS AND DISCONTINUOUS FORCING: APPLICATION TO LAMINAR CHAOTIC MIXING
• Stability and Hopf bifurcations in an inverted pendulum

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