Statistical Distance For Chaotic Maps

1998/03/27 by Ramandeep S. Johal, Johal, Ramandeep S.
Physics and Astronomy · #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #chao-dyn #nlin.CD

paper · pdf · doi:10.48550/arxiv.chao-dyn/9804002

5 pages, Latex, e-mail: raman%[email protected], submitted to Physics Letters A

arxiv created 1998/03/27 · arxiv updated 2009/11/30

Abstract

The purpose of this letter is to define a distance on the underlying phase space of a chaotic map, based on natural invariant density of the map. It is observed that for logistic map this distance is equivalent to Wootters' statistical distance. This distance becomes the Euclidean distance for a map with constant invariant density.

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