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Persistence of homoclinic tangencies in higher dimensions

Published online by Cambridge University Press:  19 September 2008

Neptali Romero
Neptali Romero
Affiliation:
Dpto. de Matemática. Decanato de Ciencias. UCOLA, Apdo.400, Barquisimeto, Venezuela
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Abstract

In this paper we extend to a very general context Newhouse's phenomenon concerning the persistence of homoclinic tangencies and the coexistence of infinitely many sinks. This is done using the corresponding results in codimension one recently provedby J. Palis and M. Viana, and in a reduction of codimension in the unfolding of homoclinic tangencies developed in the present paper.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 15 , Issue 4 , August 1995 , pp. 735 - 757
Copyright
Copyright © Cambridge University Press 1995

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