On complete chaotic maps with tent-map-like structures

Weihong Huang

Chaos, Solitons & Fractals, 2005, vol. 24, issue 1, 287-299

Abstract: A unimodal map f : [0,1]→[0,1] is said to be complete chaotic if it is both ergodic and chaotic in a probabilistic sense so as to preserve an absolutely continuous invariant measure. The sufficient conditions are provided to construct complete chaotic maps with the tent-map-like structures, that is, f(x)=1−∣1−2g(x)∣, where g is an one-to-one onto map defined on [0,1]. The simplicity and analytical characteristics of such chaotic maps simplify the calculations of various statistical properties of chaotic dynamics.

Date: 2005
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:24:y:2005:i:1:p:287-299

DOI: 10.1016/j.chaos.2004.09.021

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