ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

For citation:

Ajdarova J. S., Kuznetsov S. P. Chaotic dynamics of Hunt model – artificially constructed flow system with a hyperbolic attractor. Izvestiya VUZ. Applied Nonlinear Dynamics, 2008, vol. 16, iss. 3, pp. 176-196. DOI: 10.18500/0869-6632-2008-16-3-176-196

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Language: 
Russian
Heading: 
Methodical Papers on Nonlinear Dynamics
Article type: 
Article
UDC: 
517.9
DOI: 
10.18500/0869-6632-2008-16-3-176-196

Chaotic dynamics of Hunt model – artificially constructed flow system with a hyperbolic attractor

Autors: 
Ajdarova Julija Serikovna, Saratov State University
Kuznetsov Sergey Petrovich, Saratov Branch of Kotel`nikov Institute of Radiophysics and Electronics of Russian Academy of Sciences
Abstract: 

We study numerically chaotic behavior associated with the presence of a hyperbolic strange attractor of Plykin type in the model of Hunt, that is an artificially constructed dynamical system with continuous time. There are presented portraits of the attractor, plots of realizations for chaotic signal generated by the system, illustrations of the sensitive dependence on initial conditions for the trajectories on the attractor. Quantitative characteristics of the attractor are estimated, including the Lyapunov exponents and the attractor dimension. We discuss the symbolic dynamics on the attractor, find out and analyze some unstable periodic orbits belonging to the attractor.

Key words: 
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Received: 
19.05.2008
Accepted: 
19.05.2008
Published: 
30.06.2008
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