Inhibition of chaotic escape from a potential well using small parametric modulations

DOI10.1063/1.531720zbMath0862.34029OpenAlexW2035441892MaRDI QIDQ4716468

Miguel A. López, Ricardo Chacón, Francisco Balibrea

Publication date: 4 June 1997

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.531720

zbMATH Keywords

Melnikov's methodchaotic escapeHelmholtz oscillatorperiodic parametric modulation

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Complex behavior and chaotic systems of ordinary differential equations (34C28) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (4)

Reshaping-induced order-chaos routes in a damped driven Helmholtz oscillator ⋮ Inhibition of Chaotic Escape by an Additional Driven Term ⋮ Amplitude modulation control of escape from a potential well ⋮ BIFURCATIONS ON ELLIPTIC FUNCTIONS

Cites Work

• Fractal control boundaries of driven oscillators and their relevance to safe engineering design

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