Singular Perturbations of Homoclinic Orbits in $\mathbb{R}^4 $

DOI10.1137/0523071zbMath0760.34048OpenAlexW2201937609MaRDI QIDQ4020414

Wiktor Eckhaus

Publication date: 16 January 1993

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0523071

zbMATH Keywords

homoclinic orbitwater wavessingularly perturbed differential equationexponentially small splitting effect

Mathematics Subject Classification ID

Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Boundary-layer theory, separation and reattachment, higher-order effects (76D10) Singular perturbations for ordinary differential equations (34E15) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Approximation by arbitrary linear expressions (41A45)

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