Rigorous numerical studies of the dynamics of polynomial skew products of C^2

Details Rigorous numerical studies of the dynamics of polynomial skew products of C^2 Rigorous numerical studies of the dynamics of polynomial skew products of C^2

2005-02-02

arxiv.org/abs/math/0502038v1

Mathematics

Dynamical Systems

15 pages, 12 figures, submitted

Scientific paper

For the class of polynomial skew products of C^2, 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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