Chaotic dynamics of the Hunt model, an artificially constructed flow system with a hyperbolic attractor

Details Chaotic dynamics of the Hunt model, an artificially constructed flow system with a hyperbolic attractor Chaotic dynamics of the Hunt model, an artificially constructed flow system with a hyperbolic attractor

2009-01-18

arxiv.org/abs/0901.2727v3

Izvestiya VUZov. Prikladnaya Nelineinaya Dinamika, vol. 16, 2008, No 3, 176-196 (in Russian)

Nonlinear Sciences

Chaotic Dynamics

16 pages, 8 figures

Scientific paper

We study numerically chaotic behavior associated with a hyperbolic strange attractor of Plykin type in the model of Hunt, 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 symbolic dynamics on the attractor, find out and analyze some unstable periodic orbit belonging to the attractor.

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