Geodesic
Some Lattice Models with Hyperbolic Chaotic Attractors
Russian journal of nonlinear dynamics, Tome 16 (2020) no. 1, pp. 13-21

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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, attractor, Smale – Williams solenoid, Turing pattern, pendulum, parametric oscillations, cellular neural network.
Mots-clés : chaos 
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     title = {Some {Lattice} {Models} with {Hyperbolic} {Chaotic} {Attractors}},
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S. P. Kuznetsov. Some Lattice Models with Hyperbolic Chaotic Attractors. Russian journal of nonlinear dynamics, Tome 16 (2020) no. 1, pp. 13-21. http://geodesic.mathdoc.fr/item/ND_2020_16_1_a1/