Strange nonchaotic attractor in a dynamical system under periodic forcing
Statistical Mechanics
2007-05-23 v1 Disordered Systems and Neural Networks
Chaotic Dynamics
Abstract
We observe the occurrence of a strange nonchaotic attractor in a periodically driven two-dimensional map, formerly proposed as a neuron model and a sequence generator. We characterize this attractor through the study of the Lyapunov exponents, fractal dimension, autocorrelation function and power spectrum. The strange nonchaotic attractor in this model is a typical behavior, occupying a finite range of the parameter space.
Cite
@article{arxiv.cond-mat/0002329,
title = {Strange nonchaotic attractor in a dynamical system under periodic forcing},
author = {Andre S. Cassol and Fabio L. S. Veiga and Marcelo H. R. Tragtenberg},
journal= {arXiv preprint arXiv:cond-mat/0002329},
year = {2007}
}
Comments
7 pages in Latex/Revtex format, 9 PostScript figures, submitted to PRE