A new class of chaotic attractors in Murali-lakshmanan-chua circuit

Ali Oksasoglu, Qiu-Dong Wang

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

In this paper, we study the existence of a new class of chaotic attractors, namely the rank-one attractors, in the MLC (Murali-Lakshmanan-Chua) circuit [Murali et al., 1994] by numerical simulations based on a theory of rank-one maps developed in [Wang & Young, 2005]. With the guidance of the theory in [Wang & Young, 2005], weakly stable limit cycles, found through Hopf bifurcations and other numerical means, are subjected to periodic pulses with long relaxation periods to produce rank-one attractors. The periodic pulses are applied directly as an input. Periodic pulses have been used before in various schemes of chaos. However, for this scheme of creating rank-one attractors to work, the applied periodic pulses must have short pulse widths and long relaxation periods. This is one of the key components in creating this new class of chaotic attractors.

Original languageEnglish (US)
Pages (from-to)2659-2670
Number of pages12
JournalInternational Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Volume16
Issue number9
DOIs
StatePublished - Sep 2006

Fingerprint

Chua's Circuit
Hopf bifurcation
Chaotic Attractor
Chaos theory
Attractor
Networks (circuits)
Computer simulation
Short Pulse
Limit Cycle
Hopf Bifurcation
Guidance
Chaos
Numerical Simulation
Class

Keywords

  • Chaos
  • Hopf bifurcation
  • MLC
  • Nonlinear
  • Rank one attractors
  • Strange attractors

ASJC Scopus subject areas

  • General
  • Applied Mathematics

Cite this

A new class of chaotic attractors in Murali-lakshmanan-chua circuit. / Oksasoglu, Ali; Wang, Qiu-Dong.

In: International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, Vol. 16, No. 9, 09.2006, p. 2659-2670.

Research output: Contribution to journalArticle

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