Excitation-reshaping-induced chaotic escape from a potential well

DOI10.1007/s11071-006-1977-6zbMath1101.78002OpenAlexW1975108875MaRDI QIDQ2432344

J. A. Martínez, Ricardo Chacón

Publication date: 25 October 2006

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-006-1977-6

zbMATH Keywords

homoclinic bifurcationMelnikov methodnon-harmonic excitation

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Forced motions for nonlinear problems in mechanics (70K40) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Physical optics (78A10)

Cites Work

• Unnamed Item
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Fractal basin boundaries
• Lyapunov exponents for a Duffing oscillator
• Fractal properties of escape from a two-dimensional potential
• Fractal control boundaries of driven oscillators and their relevance to safe engineering design
• Chaotic phenomena triggering the escape from a potential well

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