Strange attractors in periodically kicked Chua's circuit

Qiu-Dong Wang, Ali Oksasoglu

Research output: Contribution to journalArticle

20 Citations (Scopus)

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.

Original languageEnglish (US)
Pages (from-to)83-98
Number of pages16
JournalInternational Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Volume15
Issue number1
DOIs
StatePublished - 2005

Fingerprint

Chua's Circuit
Strange attractor
Chaos theory
Chaos
Hopf bifurcation
Networks (circuits)
Autonomous Systems
Hopf Bifurcation
Forcing
Dynamical systems
Dynamical system
Numerical Simulation
Computer simulation

Keywords

  • Chua's circuit
  • Periodic kick
  • Strange attractors

ASJC Scopus subject areas

  • General
  • Applied Mathematics

Cite this

Strange attractors in periodically kicked Chua's circuit. / Wang, Qiu-Dong; Oksasoglu, Ali.

In: International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, Vol. 15, No. 1, 2005, p. 83-98.

Research output: Contribution to journalArticle

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