New class of chaotic systems with circular equilibrium
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Date
2015-04-10
Authors
Götthans, Tomáš
Petržela, Jiří
0000-0002-0386-1813Advisor
Referee
Mark
Journal Title
Journal ISSN
Volume Title
Publisher
Altmetrics
Abstract
This paper brings a new mathematical model of the third-order autonomous deterministic dynamical system with associated chaotic motion. Its unique property lies in the existence of circular equilibrium which was not, by referring to the best knowledge of the authors, so far reported. Both mathematical analysis and circuitry implementation of the corresponding differential equations are presented. It is shown that discovered system provides a structurally stable strange attractor which fulfills fractal dimensionality and geometrical density and is bounded into a finite state space volume.
This paper brings a new mathematical model of the third-order autonomous deterministic dynamical system with associated chaotic motion. Its unique property lies in the existence of circular equilibrium which was not, by referring to the best knowledge of the authors, so far reported. Both mathematical analysis and circuitry implementation of the corresponding differential equations are presented. It is shown that discovered system provides a structurally stable strange attractor which fulfills fractal dimensionality and geometrical density and is bounded into a finite state space volume.
This paper brings a new mathematical model of the third-order autonomous deterministic dynamical system with associated chaotic motion. Its unique property lies in the existence of circular equilibrium which was not, by referring to the best knowledge of the authors, so far reported. Both mathematical analysis and circuitry implementation of the corresponding differential equations are presented. It is shown that discovered system provides a structurally stable strange attractor which fulfills fractal dimensionality and geometrical density and is bounded into a finite state space volume.
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Citation
NONLINEAR DYNAMICS. 2015, vol. 81, issue 04, p. 1143-1149.
http://link.springer.com/article/10.1007%2Fs11071-015-2056-7#
http://link.springer.com/article/10.1007%2Fs11071-015-2056-7#
Document type
Peer-reviewed
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en