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Chin. Phys. B, 2008, Vol. 17(9): 3247-3251    DOI: 10.1088/1674-1056/17/9/017
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Novel four-wing and eight-wing attractors using coupled chaotic Lorenz systems

.. Giuseppe Grassi
Dipartimento di Ingegneria dell'Innovazione, Universit`{a del Salento, 73100 Lecce, Italy
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.
Keywords:  chaotic attractors      multi-wing attractor      coupled Lorenz systems      dynamical behaviours  
Received:  18 January 2008      Revised:  06 March 2008      Accepted manuscript online: 
PACS:  05.45.-a (Nonlinear dynamics and chaos)  

Cite this article: 

.. Giuseppe Grassi Novel four-wing and eight-wing attractors using coupled chaotic Lorenz systems 2008 Chin. Phys. B 17 3247

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