Inverse problem in chaotic map theory

Kiyoshi Sogo

Chaos, Solitons & Fractals, 2009, vol. 41, issue 4, 1817-1822

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.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:41:y:2009:i:4:p:1817-1822

DOI: 10.1016/j.chaos.2008.07.027

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