Statistical Distance For Chaotic Maps

Details Statistical Distance For Chaotic Maps Statistical Distance For Chaotic Maps

1998-03-27

arxiv.org/abs/chao-dyn/9804002v1

Nonlinear Sciences

Chaotic Dynamics

5 pages, Latex, e-mail: raman%phys@puniv.chd.nic.in, submitted to Physics Letters A

Scientific paper

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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