Generating 2n-wing attractors from Lorenz-like systems

Simin Yu, Wallace K. S. Tang, Jinhu Lü, Guanrong Chen

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

63 Citations (Scopus)

Abstract

In this paper, the existence of 2n-wing chaotic attractors in a family of Lorenz-like systems is confirmed by both numerical simulation and circuit realization. By replacing a nonlinear cross-product or square term in an original Lorenz-like system with a newly designed multi-segment quadratic function, multi-wing attractor can be generated. The main design idea is to increase the number of index-2 equilibrium points of the system. This approach can not only generate multi-wing attractors in different Lorenz-like systems, but can also allow the flexibility in specifying a precise number of wings to be created. Copyright © 2008 John Wiley & Sons, Ltd.
Original languageEnglish
Pages (from-to)243-258
JournalInternational Journal of Circuit Theory and Applications
Volume38
Issue number3
DOIs
Publication statusPublished - Apr 2010

Research Keywords

  • Circuit realization
  • Lorenz-like system
  • Multi-wing attractor
  • Quadratic function

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