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Inverse problem in chaotic map theory

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  • Sogo, Kiyoshi

Abstract

Inverse problem in chaotic map theory is formulated. Solvable chaotic maps having the given invariant measure ρ(x)=An/1-x2n of n=2 and n=3 are obtained. They are derived systematically by using multiplication formulas of the elliptic functions. The Lyapunov number λ is also computed exactly for each map function, which is expressed commonly by λ=logm in terms of the multiplication factor m.

Suggested Citation

  • Sogo, Kiyoshi, 2009. "Inverse problem in chaotic map theory," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 1817-1822.
    • Handle: RePEc:eee:chsofr:v:41:y:2009:i:4:p:1817-1822
    DOI: 10.1016/j.chaos.2008.07.027
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