Homoclinic solutions of reversible systems possessing an essential spectrum

DOI10.1016/j.crma.2004.07.001zbMath1057.37049OpenAlexW1992167012MaRDI QIDQ704249

Matthieu Barrandon

Publication date: 13 January 2005

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2004.07.001

zbMATH Keywords

solitary wavesbifurcationsequilibrium solutions near the origininfinite-dimensional reversible dynamical systems

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Solitary waves for incompressible inviscid fluids (76B25) Soliton equations (35Q51) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27) Homoclinic and heteroclinic orbits for dynamical systems (37C29)

Cites Work

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• Reversible bifurcation of homoclinic solutions in presence of an essential spectrum
• Algebraic Solitary Waves in Stratified Fluids
• On the Theory of Internal Waves of Permanent Form in Fluids of Great Depth
• Existence of solitary internal waves in a two-layer fluid of infinite depth
• Gravity travelling waves for two superposed fluid layers, one being of infinite depth: a new type of bifurcation
• Internal waves of permanent form in fluids of great depth

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