Exponentially small splitting for the pendulum: A classical problem revisited

DOI10.1007/s00332-010-9068-8zbMath1219.34001OpenAlexW2093441037MaRDI QIDQ613616

Carme Olivé, Marcel Guardia, Teresa M. Seara

Publication date: 21 December 2010

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00332-010-9068-8

zbMATH Keywords

averagingMelnikov methodexponentially small splitting of separatricescomplex matchingresurgence theory

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Invariant manifolds for ordinary differential equations (34C45) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Research exposition (monographs, survey articles) pertaining to ordinary differential equations (34-02)

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