Characterizing chaotic processes that generate uniform invariant density

Weihong Huang

Chaos, Solitons & Fractals, 2005, vol. 25, issue 2, 449-460

Abstract: Universal formulations for four types of discrete chaotic processes that generate (preserve) uniform invariant density are provided. Characterizations such as necessary and/or sufficient conditions are established. It is revealed that such processes are “invariant” with branch-mirroring and horizontal mirroring. In addition, horizontally linear combinations of such processes remain to be in the same family. Theoretical findings are well verified by the computer simulations.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:25:y:2005:i:2:p:449-460

DOI: 10.1016/j.chaos.2004.11.016

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