Role of nonlinear dissipation in the suppression of chaotic escape from a potential well

DOI10.1016/S0375-9601(00)00675-7zbMath0972.70021OpenAlexW1983337485MaRDI QIDQ1594673

Miguel A. López, Francisco Balibrea, Ricardo Chacón

Publication date: 6 February 2001

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0375-9601(00)00675-7

zbMATH Keywords

initial conditionsperiodic parametric perturbationPoincare-Melnikov-Arnold analysis

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) General perturbation schemes for nonlinear problems in mechanics (70K60)

Related Items (4)

HOMOCLINIC BIFURCATION AND CHAOS IN Φ⁶-RAYLEIGH OSCILLATOR WITH THREE WELLS DRIVEN BY AN AMPLITUDE MODULATED FORCE ⋮ TRANSITION TO CHAOS IN PLASMA DENSITY WITH ASYMMETRY DOUBLE-WELL POTENTIAL FOR PARAMETRIC AND EXTERNAL HARMONIC OSCILLATIONS ⋮ DISTURBING SMOOTH TRANSITIVE INTERVAL MAPS ⋮ Robustness in the suppression of bidirectional chaotic escape from a potential well by weak parametric excitations

Cites Work

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• Fractal basin boundaries
• Global bifurcations and chaos. Analytical methods
• Chaotic phenomena triggering the escape from a potential well
• Global bifurcation and chaos from automatic gain control loops
• THE EFFECT OF DAMPING ON THE STEADY STATE AND BASIN BIFURCATION PATTERNS OF A NONLINEAR MECHANICAL OSCILLATOR
• THE EFFECT OF NONLINEAR DAMPING ON THE UNIVERSAL ESCAPE OSCILLATOR

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