Summary
2011 International Symposium on Nonlinear Theory and Its Applications
2011
Session Number:A3L-E
Session:
Number:A3L-E3
Experimental Observations of Strange Non-Chaotic Attractors from a Chaotic Neuron Integrated Circuit
Seiji Uenohara, Yoshihiko Horio, Takahito Mitsui, Kazuyuki Aihara,
pp.232-235
Publication Date:2011/9/4
Online ISSN:2188-5079
Summary:
Strange non-chaotic attractors are observed experimentally in a chaotic neuron integrated circuit that implements a chaotic neuron model driven by an external quasiperiodic signal. Lyapunov and phase sensitivity ex- ponents are used to classify the observed attractors into the following three types: 1) chaotic attractors; 2) tori; and 3) strange non-chaotic attractors. In experiments, it is gener- ally difficult to extract precise values for the non-positive largest Lyapunov exponents from the resulting time se- ries. Therefore, a mathematical model of the circuit is constructed, such that the attractors obtained from the ex- perimental behavior can be reproduced accurately in sim- ulations. By analyzing the mathematical model instead of directly analyzing the time series from the circuit, the ob- served attractors are successfully characterized, including SNAs.