中国物理B ›› 2008, Vol. 17 ›› Issue (9): 3247-3251.doi: 10.1088/1674-1056/17/9/017

• GENERAL • 上一篇    下一篇

Novel four-wing and eight-wing attractors using coupled chaotic Lorenz systems

Giuseppe Grassi   

  1. Dipartimento di Ingegneria dell'Innovazione, Universit`{a del Salento, 73100 Lecce, Italy
  • 收稿日期:2008-01-18 修回日期:2008-03-06 出版日期:2008-09-08 发布日期:2008-09-08

Novel four-wing and eight-wing attractors using coupled chaotic Lorenz systems

.. Giuseppe Grassi   

  1. Dipartimento di Ingegneria dell'Innovazione, Universit`{a del Salento, 73100 Lecce, Italy
  • Received:2008-01-18 Revised:2008-03-06 Online:2008-09-08 Published:2008-09-08

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摘要： This paper presents the problem of generating four-wing (eight-wing) chaotic attractors. The adopted method consists in suitably coupling two (three) identical Lorenz systems. In analogy with the original Lorenz system, where the two wings of the butterfly attractor are located around the two equilibria with the unstable pair of complex-conjugate eigenvalues, this paper shows that the four wings (eight wings) of these novel attractors are located around the four (eight) equilibria with two (three) pairs of unstable complex-conjugate eigenvalues.

Abstract: This paper presents the problem of generating four-wing (eight-wing) chaotic attractors. The adopted method consists in suitably coupling two (three) identical Lorenz systems. In analogy with the original Lorenz system, where the two wings of the butterfly attractor are located around the two equilibria with the unstable pair of complex-conjugate eigenvalues, this paper shows that the four wings (eight wings) of these novel attractors are located around the four (eight) equilibria with two (three) pairs of unstable complex-conjugate eigenvalues.

Key words: chaotic attractors, multi-wing attractor, coupled Lorenz systems, dynamical behaviours

中图分类号:  (Nonlinear dynamics and chaos)

  • 05.45.-a