Critical exponents in the transition to chaos in one-dimensional discrete systems

Pramana

G Ambika¹  N V Sujatha¹ 

[1] Department of Physics, Maharaja’s College, Cochin 682 011, India$$

关键词: Critical exponents;    Lyapunov exponent;    fractal dimensions;    period doubling;    bimodal maps.;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

We report the numerically evaluated critical exponents associated with the scaling of generalized fractal dimensions during the transition from order to chaos. The analysis is carried out in detail in the context of unimodal and bimodal maps representing typical one-dimensional discrete dynamical systems. The behavior of Lyapunov exponents (LE) in the cross over region is also studied for a complete characterization.

【 授权许可】

Unknown