Rigorous numerical studies of the dynamics of polynomial skew products of C2
Abstract
For the class of polynomial skew products of C2, we describe a rigorous computer algorithm which, for a given map F, will (1) build a model of the dynamics of F on its chain recurrent set, and (2) attempt to determine whether F is Axiom A. Further, we discuss how we used our implementation of this algorithm to establish Axiom A for several explicit cases.
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