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

页码：1 / 18

页数：18

共 22 条

[1] Application of generalized thermostatistics to fully developed turbulence [J].