Exponential asymptotics of bi-oscillatory integrals. Application to the problem of persistence of homoclinic connections for the (iω0)2iω1 resonance

DOI10.1016/S0764-4442(99)80123-2zbMath0927.34032MaRDI QIDQ4254367

Eric Lombardi

Publication date: 16 August 1999

Published in: Comptes Rendus de l'Académie des Sciences - Series I - Mathematics (Search for Journal in Brave)

zbMATH Keywords

normal formMelnikov functionhomoclinic connectionbi-oscillatory integral

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

This page was built for publication: Exponential asymptotics of bi-oscillatory integrals. Application to the problem of persistence of homoclinic connections for the (iω0)2iω1 resonance