论文信息 - On the realization of n-scroll attractors

On the realization of n-scroll attractors

In this paper we discuss scaling properties of the nonlinearity in a generalized Chua's circuit for generating n-scroll attractors. The generalized Chua's circuit introduced by Suykens, Huang & Chua makes use of a piecewise linear characteristic with multiple breakpoints leading to a more complete family of n-scroll attractors than n-double scroll attractors, where n is a natural number. We present a circuit realization for a 6-scroll attractor.

[1] L. Chua. The Genesis of Chua's circuit , 1992 .

[2] P. Arena,et al. Generation of n-double scrolls via cellular neural networks , 1996, Int. J. Circuit Theory Appl..

[3] Johan A. K. Suykens,et al. Robust Nonlinear H Synchronization of Chaotic Lur'e Systems , 1997 .

[4] J. Suykens,et al. Experimental confirmation of 3- and 5-scroll attractors from a generalized Chua's circuit , 2000 .

[5] Leon O. Chua,et al. A family of n-scroll attractors from a generalized Chua's circuit , 1997 .

[6] J. Suykens,et al. Generation of n-double scrolls (n=1, 2, 3, 4,...) , 1993 .

[7] Luigi Fortuna,et al. State Controlled CNN : A New Strategy for Generating High Complex Dynamics (Special Section on Nonlinear Theory and its Applications) , 1996 .

[8] Leon O. Chua,et al. Chua's Circuit: an Overview Ten Years Later , 1994, J. Circuits Syst. Comput..

[9] J. Suykens,et al. n-Double Scroll Hypercubes in 1-D CNNs , 1997 .

[10] Johan A. K. Suykens,et al. The K.U.Leuven Time Series Prediction Competition , 1998 .

[11] G. Zhong,et al. Experimental confirmation of chaos from Chua's circuit , 1985 .

[12] L. Chua,et al. The double scroll family , 1986 .

[13] J. Suykens,et al. Nonlinear H∞ Synchronization of Chaotic Lur'e Systems , 1997 .

[14] Johan A. K. Suykens,et al. Quasilinear approach to nonlinear systems and the design of n-double scroll (n=1, 2, 3, 4, . . .) , 1991 .

[15] Leon O. Chua,et al. Global unfolding of Chua's circuit , 1993 .