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
DOI:10.20537/nd200102