Tangencies between stable and unstable manifolds-Reference-Cited by-同舟云学术

Tangencies between stable and unstable manifolds

Published:1992 Issue:1-2 Volume:121 Page:73-90
ISSN:0308-2105
Container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics
language:en
Short-container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics

Author:

Battelli Flaviano,Palmer Kenneth J.

Abstract

SynopsisIn this paper perturbation theory is used to construct systems in four dimensions having two dimensional stable and unstable manifolds which touch along a homoclinic orbit but only with a second order contact.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference8 articles.

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4. Differentiable dynamical systems

5. The Existence of Homoclinic Orbits and the Method of Melnikov for Systems in $R^n$

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