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Tangencies between stable and unstable manifolds

Published online by Cambridge University Press:  14 November 2011

Flaviano Battelli  and
Kenneth J. Palmer
Flaviano Battelli
Affiliation:
Istituto di Biomatematica, Università, Via Saffi 1, I-61029 Urbino, Italy
Kenneth J. Palmer
Affiliation:
Department of Mathematics and Computer Science, University of Miami, Coral Gables, Florida 33124, U.S.A
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Synopsis

In 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.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 121 , Issue 1-2 , 1992 , pp. 73 - 90
Copyright
Copyright © Royal Society of Edinburgh 1992

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