Exponential asymptotics of oscillatory integrals. Application to the problem of persistence of homoclinic connections for the 02iω resonance

DOI10.1016/S0764-4442(99)80147-5zbMath0924.34043OpenAlexW3023420727WikidataQ126312867 ScholiaQ126312867MaRDI QIDQ4238017

Eric Lombardi

Publication date: 3 November 1999

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

Full work available at URL: https://doi.org/10.1016/s0764-4442(99)80147-5

zbMATH Keywords

solitary wave Melnikov function normal form theory homoclinic connection oscillatory integral reversible vector field

Mathematics Subject Classification ID

Solitary waves for incompressible inviscid fluids (76B25) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

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