Discrete Dynamics in Nature and Society
Volume 2 (1998), Issue 1, Pages 53-72
doi:10.1155/S1026022698000041

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

Abstract

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.