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Characterizing chaotic processes that generate uniform invariant density

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  • Huang, Weihong

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.

Suggested Citation

  • Huang, Weihong, 2005. "Characterizing chaotic processes that generate uniform invariant density," Chaos, Solitons & Fractals, Elsevier, vol. 25(2), pages 449-460.
    • Handle: RePEc:eee:chsofr:v:25:y:2005:i:2:p:449-460
    DOI: 10.1016/j.chaos.2004.11.016
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    References listed on IDEAS

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    1. Weihong Huang, 2005. "Constructing complete chaotic maps with reciprocal structures," Discrete Dynamics in Nature and Society, Hindawi, vol. 2005, pages 1-16, January.
    2. Huang, Weihong, 2005. "On complete chaotic maps with tent-map-like structures," Chaos, Solitons & Fractals, Elsevier, vol. 24(1), pages 287-299.
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    Cited by:

    1. Huang, Weihong, 2008. "On the complete chaotic transformations that preserve symmetric invariant densities," Chaos, Solitons & Fractals, Elsevier, vol. 38(4), pages 1065-1074.

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