Title
Rank one chaos in a switch-controlled Chua's circuit
Abstract
In this paper, we study the existence of strange attractors in a switch-controlled Chua's circuit. This circuit is obtained from the original Chua's circuit by adding externally controlled switches to it in such a way to modulate the system state variables. This investigation is conducted from the perspective of a recent chaos theory of rank one maps. The externally controlled switches are used for the purposes of realizing the general settings of the theory. Both synchronous and asynchronous switch control schemes providing periodic kicks in various directions are investigated, and their effects on the resulting chaotic attractors are discussed. The results of the numerical simulations presented are in close agreement with the expectations of the theory.
Year
DOI
Venue
2010
10.1016/j.jfranklin.2010.06.006
Journal of the Franklin Institute
Keywords
Field
DocType
strange attractor,numerical simulation,chaos theory
Chua's circuit,Attractor,Electrical network,Nonlinear system,Control theory,Dynamical systems theory,State variable,Chaotic,Mathematics,Chaos theory
Journal
Volume
Issue
ISSN
347
9
0016-0032
Citations 
PageRank 
References 
6
0.58
5
Authors
2
Name
Order
Citations
PageRank
Ali Oksasoglu1285.19
Quidong Wang260.92