Kneading Theory for Triangular Maps

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The main purpose of this paper is to present a kneading theory for two-dimensional triangular maps. This is done by defining a tensor product between the polynomials and matrices corresponding to the one-dimensional basis map and fiber map. We also define a Markov partition by rectangles for the phase space of these maps. A direct consequence of these results is the rigorous computation of the topological entropy of two-dimensional triangular maps. The connection between kneading theory and subshifts of finite type is shown by using a commutative diagram derived from the homological configurations associated to $m-$modal maps of the interval.
22 pages,6 figures

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Dynamical Systems, 37B10; 37B40; 37E30, 15A69

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http://salesiana.dossiersoluciones.com/handle/123456789/66197

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0301054
 http://arxiv.org/abs/math/0301054

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arXiv