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

被引:0
作者
G Ambika
N V Sujatha
机构
[1] Maharaja’s College,Department of Physics
来源
Pramana | 2002年 / 59卷
关键词
Critical exponents; Lyapunov exponent; fractal dimensions; period doubling; bimodal maps; 05.45.+b; 05.40.+j;
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暂无
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学科分类号
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.
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页码:9 / 18
页数:9
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