Dynamical Systems Seminar




Abstract
 
Assume that f a smooth diffeomorphism of a compact smooth manifold possessing a hyperbolic attractor and is mixing on the attractor. Every diffeomorphism that is C1-homotopic to f has an SRB measure on its corresponding attractor. We show that there is a way to perturb f successively such that the SRB entropy of the perturbed diffeomorphism is as small as we want.



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