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• W2028231540 abstract "In this paper, perturbations to orbits homoclinic to saddle-centres for conservative systems are considered. We prove that if the Hessian of the conserved energy at the saddle-centre is positive definite in the centre directions, then either single bump orbits homoclinic to the saddle-centre persist or its centre-unstable and centre-stable manifolds intersect transversally, where the centre manifold is stable. The return map induced by the homoclinic orbits to the centre manifold and applications to sine-Gordon breathers, homoclinic orbits for nonlinear Schrödinger equations, and periodic travelling waves for Klein–Gordon equations are discussed." @default.
• W2028231540 created "2016-06-24" @default.
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• W2028231540 date "2003-01-28" @default.
• W2028231540 modified "2023-10-16" @default.
• W2028231540 title "Orbits homoclinic to centre manifolds of conservative PDEs" @default.
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• W2028231540 doi "https://doi.org/10.1088/0951-7715/16/2/314" @default.
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