A general algorithm to find unstable periodic orbits of chaotic maps is proposed. It consists in building continuous dynamical systems whose stable stationary points are in one-to-one correspondence with unstable periodic orbits of the considered map. In the case of one-dimensional maps an analytical proof of the effectiveness of the method is also given.
ON A PROCEDURE TO EVALUATE UNSTABLE PERIODIC-ORBITS
DE FILIPPO, Sergio;SALERNO, Mario
1991-01-01
Abstract
A general algorithm to find unstable periodic orbits of chaotic maps is proposed. It consists in building continuous dynamical systems whose stable stationary points are in one-to-one correspondence with unstable periodic orbits of the considered map. In the case of one-dimensional maps an analytical proof of the effectiveness of the method is also given.File in questo prodotto:
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