Dimensional Characteristics of Diffusion Chaos

The phenomenon of multimode diffusion chaos is considered. For a number of examples it is shown that the Lyapunov dimension of the attractor of a distributed dynamical system increases as the diffusion coefficient tends to 0.

Bibliographic Details
Main Author: S. D. Glyzin
Format: Article
Language:English
Published: Yaroslavl State University 2013-02-01
Series:Modelirovanie i Analiz Informacionnyh Sistem
Subjects:
Online Access:https://www.mais-journal.ru/jour/article/view/219
Description
Summary:The phenomenon of multimode diffusion chaos is considered. For a number of examples it is shown that the Lyapunov dimension of the attractor of a distributed dynamical system increases as the diffusion coefficient tends to 0.
ISSN:1818-1015
2313-5417