Arnold Diffusion of the Discrete Nonlinear Schrödinger Equation

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dc.creatorLi, Y. Charles
dc.date2006-07-18
dc.date.accessioned2026-07-07T07:20:40Z
dc.date.available2026-07-07T07:20:40Z
dc.descriptionIn this article, we prove the existence of Arnold diffusion for an interesting specific system -- discrete nonlinear Schrödinger equation. The proof is for the 5-dimensional case with or without resonance. In higher dimensions, the problem is open. Progresses are made by establishing a complete set of Melnikov-Arnold integrals in higher and infinite dimensions. The openness lies at the concrete computation of these Melnikov-Arnold integrals. New machineries introduced here into the topic of Arnold diffusion are the Darboux transformation and isospectral theory of integrable systems.
dc.description24pp
dc.identifierhttps://arxiv.org/abs/math/0607443
dc.identifierhttp://arxiv.org/abs/math/0607443
dc.identifierDynamics of PDE, Vol.3, no.3, (2006), 235-258
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/115032
dc.subjectDynamical Systems
dc.subjectMathematical Physics
dc.subjectAnalysis of PDEs
dc.subjectChaotic Dynamics
dc.subject37, 34, 35, 78, 76
dc.titleArnold Diffusion of the Discrete Nonlinear Schrödinger Equation
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