Rank one chaos in a switch-controlled Chua's circuit

Ali Oksasoglu, Quidong Wang

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)1598-1622
Number of pages25
JournalJournal of the Franklin Institute
Volume347
Issue number9
DOIs
StatePublished - Nov 1 2010

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Signal Processing
  • Computer Networks and Communications
  • Applied Mathematics

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