Higher correlation functions of chaotic dynamical systems-a graph theoretical approach
Higher correlation functions of chaotic dynamical systems-a graph theoretical approach
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DOI：
10.1088/0951-7715/4/4/006
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发表时间：
1991-11
期刊：
影响因子：
1.7
通讯作者：
C. Beck
中科院分区：
文献类型：
--
作者：
C. Beck
For dynamical systems conjugated to the Bernoulli shift and their higher-dimensional extensions of Kaplan-Yorke type the author calculates higher-order correlation functions by means of a graph theoretical method. The graphs relevant to this problem are forests of incomplete double binary trees. His method has similarities with the Feynman graph approach in quantum field theory: the 'free field' corresponds to a Gaussian random dynamics, the 'interacting field' to a chaotic process with non-trivial higher-order correlations. The 'coupling constant' tau 1/2 is a time scale parameter that measures how much the chaotic process differs from a Gaussian process. He develops a perturbation theory around the Gaussian limit case for sums of iterates of the fully developed logistic map with arbitrary coefficients.
