Int. Journ. of Bifurcation and Chaos, 9(6), 1009-1039, (1999)
This paper gives an improvement of both papers cited below (Ref-1, Ref-2), first by improving the idea and the method which allows me to find multispiral attractors, (indeed in this paper, only 2 new parameters are required to increase the number of cells (spirals) by two, unlike both papers cited below in which 4 new parametrs are necessary!). And secondly, by describing a collection of other systems which multispiral attractors are found.
Interest and applications: for example in,
1) CNNs (Cellular Neural Networks): using weak linear coupling between chaotic cells, hyperchaos was obtained in a CNN array, this was demonstrated with the n-multispiral hypercube CNN, using n-multispiral as cells. (see the refs therin this paper).
2) secure communications: as the chaos is enhanced in such multispiral attractors, the latter could be used for communicating with chaos for increasing security when transmitting a useful inforamtion.
Ref-1: M.A. Aziz Alaoui, Rev. Mar. Sc. Phys. 1, 109-125, (1998)
Ref-2: M.A. Aziz Alaoui, Annales de l'ENIT -medélisation et calcul-, Vol.12(2) (1998)
Fig. 1. An example of amultispiral attractor with 21 spirals for modified Chua's circuit, generated by Eq.(2). See also a multispiral gallery and a multifold gallery.
A GIF animated view of this attractor is (asap) available.
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