Resurgence of inner solutions for perturbations of the McMillan map

DOI10.3934/DCDS.2011.31.165zbMath1230.37069OpenAlexW2034133793MaRDI QIDQ717858

Pau Martín, David Sauzin, Teresa M. Seara

Publication date: 10 October 2011

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2011.31.165

zbMATH Keywords

exponentially small phenomenaresurgencesplitting of separatrices

Mathematics Subject Classification ID

Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (4)

Breakdown of a 2D heteroclinic connection in the Hopf-zero singularity. II: The generic case ⋮ Analytic invariants for the \(1 : - 1\) resonance ⋮ Exponentially small splitting of separatrices beyond Melnikov analysis: Rigorous results ⋮ Exponentially Small Asymptotic Formulas for the Length Spectrum in Some Billiard Tables

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