Irregular Attractors

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...

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Main Authors: Vadim S. Anishchenko, Galina I. Strelkova
Format: Article
Language:English
Published: Wiley 1998-01-01
Series:Discrete Dynamics in Nature and Society
Subjects:
Online Access:http://dx.doi.org/10.1155/S1026022698000041
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author Vadim S. Anishchenko
Galina I. Strelkova
author_facet Vadim S. Anishchenko
Galina I. Strelkova
author_sort Vadim S. Anishchenko
collection DOAJ
description 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.
format Article
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institution Kabale University
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language English
publishDate 1998-01-01
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series Discrete Dynamics in Nature and Society
spelling doaj-art-ce8a786f884c4d2a8d710f0a99edfffd2025-02-03T01:11:17ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X1998-01-0121537210.1155/S1026022698000041Irregular AttractorsVadim S. Anishchenko0Galina I. Strelkova1Laboratory of Nonlinear Dynamics, Department of Physics, Saratov State University, Astrakhanskaya str., 83, Saratov 410026, RussiaLaboratory of Nonlinear Dynamics, Department of Physics, Saratov State University, Astrakhanskaya str., 83, Saratov 410026, RussiaIn 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.http://dx.doi.org/10.1155/S1026022698000041Dynamical systemAttractorHyperbolic attractorsLorenz type attractorsQuasiattractorsStrange nonchaotic attractorsNonstrange chaotic attractors.
spellingShingle Vadim S. Anishchenko
Galina I. Strelkova
Irregular Attractors
Discrete Dynamics in Nature and Society
Dynamical system
Attractor
Hyperbolic attractors
Lorenz type attractors
Quasiattractors
Strange nonchaotic attractors
Nonstrange chaotic attractors.
title Irregular Attractors
title_full Irregular Attractors
title_fullStr Irregular Attractors
title_full_unstemmed Irregular Attractors
title_short Irregular Attractors
title_sort irregular attractors
topic Dynamical system
Attractor
Hyperbolic attractors
Lorenz type attractors
Quasiattractors
Strange nonchaotic attractors
Nonstrange chaotic attractors.
url http://dx.doi.org/10.1155/S1026022698000041
work_keys_str_mv AT vadimsanishchenko irregularattractors
AT galinaistrelkova irregularattractors