Hyperbolic sets for noninvertible maps and relations

Evelyn Sander

doi:10.3934/dcds.1999.5.339

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1999, Volume 5, Issue 2: 339-357. Doi: 10.3934/dcds.1999.5.339

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Hyperbolic sets for noninvertible maps and relations

Evelyn Sander^1,

1.
Department of Mathematical Sciences, George Mason University, MS 3F2, 4400 University Drive, Fairfax, VA 22030

Received: August 31, 1997

Revised: October 31, 1998

Published: March 1999

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Abstract

This paper develops the theory of hyperbolic sets for relations, a generalization of both noninvertible and multivalued maps. We give proofs of shadowing and the stable manifold theorem in this context.

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Mathematics Subject Classification: 58F.

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