Higher-order correlations of Tchebyscheff maps

被引：25
|
作者：
Hilgers, A
Beck, C
机构：
[1] Rhein Westfal TH Aachen, Inst Theoret Phys, D-52056 Aachen, Germany
[2] Univ London Queen Mary & Westfield Coll, Sch Math Sci, London E1 4NS, England
来源：
PHYSICA D | 2001年 / 156卷 / 1-2期
关键词：
higher-order correlation; Tchebyscheff maps; Gaussian white noise;
D O I：
10.1016/S0167-2789(01)00265-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We determine the higher-order correlation functions of iterates of Tchebyscheff polynomials of arbitrary order N. The non-vanishing correlations can be described by suitable sets of graphs. These graphs allow for a perturbative evaluation of invariant densities for Langevin-like systems that are driven by deterministic chaotic forces generated by Tchebyscheff maps rather than Gaussian white noise. (C) 2001 Published by Elsevier Science B.V.
引用
收藏
页码：1 / 18
页数：18
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