Some Lattice Models with Hyperbolic Chaotic Attractors

    2020, Vol. 16, no. 1, pp.  13-21

    Author(s): Kuznetsov S. P.

    Examples of one-dimensional lattice systems are considered, in which patterns of different spatial scales arise alternately, so that the spatial phase over a full cycle undergoes transformation according to an expanding circle map that implies the occurrence of Smale–Williams attractors in the multidimensional state space. These models can serve as a basis for design electronic generators of robust chaos within a paradigm of coupled cellular networks. One of the examples is a mechanical pendulum system interesting and demonstrative for research and educational experimental studies.
    Keywords: dynamical system, chaos, attractor, Smale – Williams solenoid, Turing pattern, pendulum, parametric oscillations, cellular neural network
    Citation: Kuznetsov S. P., Some Lattice Models with Hyperbolic Chaotic Attractors, Rus. J. Nonlin. Dyn., 2020, Vol. 16, no. 1, pp.  13-21

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