Stable topological transitivity properties of Rn-extensions of hyperbolic transformations

Moss, A and Walkden, C. P. (2011) Stable topological transitivity properties of Rn-extensions of hyperbolic transformations. [MIMS Preprint]

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Abstract

We consider Rn skew-products of a class of hyperbolic dynamical systems. It was proved by Nit¸ic�a and Pollicott [NP] that for an Anosov diffeomorphism of an infranilmanifold there is (subject avoiding natural obstructions) an open and dense set f : ! RN for which the skew-product f (x, s) = ((x), s+f(x)) on �RN has a dense orbit. We prove a similar result in the context of an Axiom A hyperbolic flow on an attractor.

Item Type:	MIMS Preprint
Subjects:	MSC 2010, the AMS's Mathematics Subject Classification > 37 Dynamical systems and ergodic theory
Depositing User:	Ms Lucy van Russelt
Date Deposited:	14 May 2011
Last Modified:	08 Nov 2017 18:18
URI:	https://eprints.maths.manchester.ac.uk/id/eprint/1621

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