Published March 28, 2005 | Version v1
Journal article

Method of iterated function averaging for calculating mean value of a chaotic orbit

  • 1. Department of Aerospace Propulsion, School of Astronautics, Beihang Univeristy, Beijing 100083 (China) and State Key Laboratory of Turbulence Research, Department of Mechanics and Engineering Science, Peking University, Beijing 100871 (China)
  • 2. State Key Laboratory of Turbulence Research, Department of Mechanics and Engineering Science, Peking University, Beijing 100871 (China)

Description

We describe the method of iterated function averaging (IFA) to calculate mean value of the chaotic orbit of discrete dynamical systems. Namely, the limitation of integrals of iterated map is the mean value of the chaotic orbit of the dynamical system. Examples of IFA and comparison with other methods are presented

Additional details

Identifiers

DOI
10.1016/j.physleta.2005.01.035;
PII
S0375-9601(05)00098-8;

Publishing Information

Journal Title
Physics Letters. A
Journal Volume
337
Journal Issue
1-2
Journal Page Range
p. 69-74
ISSN
0375-9601
CODEN
PYLAAG

INIS

Country of Publication
Netherlands
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
37033900
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
CHAOS THEORY; COMPARATIVE EVALUATIONS; FUNCTIONS; ITERATIVE METHODS; MAPS; ORBITS
Descriptors DEC
CALCULATION METHODS; EVALUATION; MATHEMATICS

Optional Information

Copyright
Copyright (c) 2005 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.