Discrete Dynamics in Nature and Society
Volume 2 (1998), Issue 1, Pages 53-72

Irregular Attractors

Vadim S. Anishchenko and Galina I. Strelkova

Laboratory of Nonlinear Dynamics, Department of Physics, Saratov State University, Astrakhanskaya str., 83, Saratov 410026, Russia

Received 20 September 1997

Copyright © 1998 Vadim S. Anishchenko and Galina I. Strelkova. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


In this paper the definition of attractor of a dissipative dynamical system is introduced. The classification of the existing types of attractors and the analysis of their characteristics are presented. The discussed problems are illustrated by the results of numerical simulations using a number of real examples that provides the possibility to understand easily the main properties, similarities and differences of the considered types of attractors.