Hyperbolic sets for noninvertible maps and relations
Evelyn Sander - Department of Mathematical Sciences, George Mason University, MS 3F2, 4400 University Drive, Fairfax, VA 22030, United States (email)
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.
Keywords: Dynamical systems, iteration, hyperbolic sets, invariant manifolds, shadowing, relations, noninvertible maps, multivalued maps.
Received: September 1997; Revised: November 1998; Published: January 1999.
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