Rank one chaos in switch-controlled piecewise linear Chua's circuit

Qiu-Dong Wang, Ali Oksasoglu

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

In this paper, we continue our study of rank one chaos in switch-controlled circuits. Periodically controlled switches are added to Chua's original piecewise linear circuit to generate rank one attractors in the vicinity of an asymptotically stable periodic solution that is relatively large in size. Our previous investigations relied heavily on the smooth nonlinearity of the unforced systems, and were, by large, restricted to a small neighborhood of supercritical Hopf bifurcations. Whereas the system studied in this paper is much more feasible for physical implementation, and thus the corresponding rank one chaos is much easier to detect in practice. The findings of our purely numerical experiments are further supported by the PSPICE simulations.

Original languageEnglish (US)
Pages (from-to)769-789
Number of pages21
JournalJournal of Circuits, Systems and Computers
Volume16
Issue number5
DOIs
StatePublished - Oct 2007

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Chaos theory
Switches
Hopf bifurcation
Networks (circuits)
SPICE
Experiments

Keywords

  • Chua's circuit
  • Rank one chaos
  • Strange attractors
  • Switch-controlled circuit

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Hardware and Architecture

Cite this

Rank one chaos in switch-controlled piecewise linear Chua's circuit. / Wang, Qiu-Dong; Oksasoglu, Ali.

In: Journal of Circuits, Systems and Computers, Vol. 16, No. 5, 10.2007, p. 769-789.

Research output: Contribution to journalArticle

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