Subharmonic and homoclinic bifurcations in the driven and damped sine-Gordon system

DOI10.1016/S0167-2789(98)00312-1zbMath0939.37045OpenAlexW1969298960MaRDI QIDQ1808353

Laurent Nana, Ernest Kaptouom, Timoléon Créprin Kofané

Publication date: 6 December 1999

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-2789(98)00312-1

zbMATH Keywords

homoclinic bifurcationMelnikov methodsine-Gordon equations

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Computational methods for bifurcation problems in dynamical systems (37M20) Bifurcation problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K50)

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Cites Work

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• Nonlinear dynamics in driven, damped sine-Gordon systems
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• A quasi-periodic route to chaos in a near-integrable PDE
• On the Detection and Dynamical Consequences of Orbits Homoclinic to Hyperbolic Periodic Orbits and Normally Hyperbolic Invariant Tori in a Class of Ordinary Differential Equations