Hierarchy of rational order families of chaotic maps with an invariant measure

Pramana

M Foroutan2 3 4²  S Ahadpour1 2 3¹  M A Jafarizadeh1 2 3¹ 

[1] Department of Theoretical Physics and Astrophysics, Tabriz University, Tabriz 51664, Iran$$;Institute for Studies in Theoretical Physics and Mathematics, Tehran 19395-1795, Iran$$

关键词: Kolmogorov–Sinai entropy;    invariant measure;    Lyapunov exponent;    chaos.;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

We introduce an interesting hierarchy of rational order chaotic maps that possess an invariant measure. In contrast to the previously introduced hierarchy of chaotic maps [1–5], with merely entropy production, the rational order chaotic maps can simultaneously produce and consume entropy. We compute the Kolmogorov–Sinai entropy of these maps analytically and also their Lyapunov exponent numerically, where the obtained numerical results support the analytical calculations.

【 授权许可】

Unknown