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On the rate of approach to homoclinic tangency

Authors
Journal
Physics Letters A
0375-9601
Publisher
Elsevier
Publication Date
Volume
92
Issue
5
Identifiers
DOI: 10.1016/0375-9601(82)90019-6

Abstract

Abstract It is well-known fact, observed by Poincaré, that the crossing of stable and unstable manifolds of a saddle-type periodic point leads to quite complicated dynamics. Newhouse has shown that when the stable and unstable manifolds are tangent there will also be wild behavior. In this note we report on the rate of approach to homoclinic tangency.

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