The Inner Equation for Generalized Standard Maps

DOI10.1137/110859932zbMath1266.34076arXiv1206.5623OpenAlexW2094367425MaRDI QIDQ4904536

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Publication date: 30 January 2013

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.5623

zbMATH Keywords

asymptotic formulaexponentially small phenomenanumerical computationssplitting of separatricesinner equation

Mathematics Subject Classification ID

Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

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Breakdown of a 2D heteroclinic connection in the Hopf-zero singularity. I ⋮ Breakdown of a 2D heteroclinic connection in the Hopf-zero singularity. II: The generic case ⋮ Breakdown of homoclinic orbits to \(L_3\) in the RPC3BP. I: Complex singularities and the inner equation ⋮ Exponentially Small Asymptotic Formulas for the Length Spectrum in Some Billiard Tables

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