Some lattice models with hyperbolic chaotic attractors
Adaptation and Self-Organizing Systems
2019-09-05 v1
Abstract
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 undergo transformation according to expanding circle map that implies 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.
Cite
@article{arxiv.1909.01896,
title = {Some lattice models with hyperbolic chaotic attractors},
author = {Sergey P. Kuznetsov},
journal= {arXiv preprint arXiv:1909.01896},
year = {2019}
}
Comments
10 pages, 4 figures