Homoclinic bifurcation sets of driven nonlinear oscillators

DOI10.1007/BF02302268zbMath0858.34040MaRDI QIDQ1923989

Miguel A. F. Sanjuán

Publication date: 13 October 1996

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

zbMATH Keywords

homoclinic bifurcation setsquasiperiodically and parametrically driven nonlinear oscillators

Mathematics Subject Classification ID

Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (2)

Optimal Control of Homoclinic Bifurcation: Theoretical Treatment and Practical Reduction of Safe Basin Erosion in the Helmholtz Oscillator ⋮ THE EFFECT OF NONLINEAR DAMPING ON THE UNIVERSAL ESCAPE OSCILLATOR

Cites Work

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• Modulations of KdV wavetrains
• Subharmonic and homoclinic bifurcations in a parametrically forced pendulum
• Marginal stability boundaries for some driven, damped, nonlinear oscillators
• The bifurcation to homoclinic tori in the quasiperiodically forced Duffing oscillator
• Chaotic phenomena triggering the escape from a potential well
• Chaotic Dynamics of Quasi-Periodically Forced Oscillators Detected by Melnikov’s Method
• Periodic and chaotic behaviour in a reduction of the perturbed Korteweg-de Vries equation
• Homoclinic motions and chaos in the quasiperiodically forced van der Pol-Duffing oscillator with single well potential

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