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

Ali Oksasoglu, Qiudong Wang

Research output: Contribution to journalArticle

9 Scopus citations

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
Volume16
Issue number9
DOIs
StatePublished - Sep 2006

Keywords

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

ASJC Scopus subject areas

  • Modeling and Simulation
  • Engineering (miscellaneous)
  • General
  • Applied Mathematics

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