Exponentially small splitting of heteroclinc orbits: from the rapidly forced pendulum to discrete solitons

DOI10.1016/S0375-9601(00)00247-4zbMath1115.34328OpenAlexW2080197799WikidataQ57944505 ScholiaQ57944505MaRDI QIDQ997860

Christopher K. R. T. Jones, Todd Kapitula, Panayotis G. Kevrekidis

Publication date: 8 August 2007

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0375-9601(00)00247-4

zbMATH Keywords

discrete solitonsexponential asymptotics

Mathematics Subject Classification ID

Asymptotic expansions of solutions to ordinary differential equations (34E05) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Lattice dynamics; integrable lattice equations (37K60)

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• Exponentially small splitting of separatrices, matching in the complex plane and Borel summation
• The Evans Function and Generalized Melnikov Integrals
• Asymptotic Theory of Hamiltonian and other Systems with all Solutions Nearly Periodic

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