STRANGE ATTRACTORS IN PERIODICALLY KICKED CHUA'S CIRCUIT
This research is partially supported by a grant from NSF
Author(s):
QIUDONG WANG Department of Mathematics, University of Arizona, Tucson, AZ 85721, USA ALI OKSASOGLU Honeywell Corporation, 11100 N. Oracle Rd., Tucson, AZ 85737, USA
History:
Received March 2, 2004 Revised April 1, 2004
Abstract:
In this paper, we discuss a new mechanism for chaos in light of some new developments in the theory of dynamical systems. It was shown in [Wang & Young, 2002b] that strange attractors occur when an autonomous system undergoing a generic Hopf bifurcation is subjected to a weak external forcing that is periodically turned on and off. For illustration purposes, we apply these results to the Chua's system. Derivation of conditions for chaos along with the results of numerical simulations are presented.