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On the topological dynamics and phase-locking renormalization of Lorenz-like maps

Lluis Alsedà, Antonio Falcó (2003)

Annales de l’institut Fourier

The aim of this paper is twofold. First we give a characterization of the set of kneading invariants for the class of Lorenz–like maps considered as a map of the circle of degree one with one discontinuity. In a second step we will consider the subclass of the Lorenz– like maps generated by the class of Lorenz maps in the interval. For this class of maps we give a characterization of the set of renormalizable maps with rotation interval degenerate to a rational number, that is, of phase–locking...

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