Short chaotic strings and their behaviour in the scaling region

Details Short chaotic strings and their behaviour in the scaling region Short chaotic strings and their behaviour in the scaling region

2008-03-20

arxiv.org/abs/0803.2991v2

Chaos, Solitons and Fractals 41 (2009) pp. 2354-2359

Nonlinear Sciences

Chaotic Dynamics

4 pages LaTeX, including 9 figures

Scientific paper

10.1016/j.chaos.2008.09.010

Coupled map lattices are a paradigm of higher-dimensional dynamical systems exhibiting spatio-temporal chaos. A special case of non-hyperbolic maps are one-dimensional map lattices of coupled Chebyshev maps with periodic boundary conditions, called chaotic strings. In this short note we show that the fine structure of the self energy of this chaotic string in the scaling region (i.e. for very small coupling) is retained if we reduce the length of the string to three lattice points.

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