A fuzzy description of the Henon chaotic map

Authors:
Domenico M. Porto
Affiliations:
STMicroelectronics, Catania, CT, Italy
Venue:
ISTASC'05 Proceedings of the 5th WSEAS/IASME International Conference on Systems Theory and Scientific Computation
Year:
2005

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Abstract

In this paper it is described how chaotic dynamics could be generated by means of fuzzy systems. The approach is based on a linguistic description of chaotic phenomena, that can be easily related to a fuzzy system design. It allows building chaotic generators, (useful in several industrial application in which randomness is needed) by means of few fuzzy sets and using a small number of fuzzy rules. Fuzzy descriptions of the well-known two dimensional discrete chaotic map is therefore introduced, denoting a good degree of approximation together with an easy design of the system obtained in a very intuitive way.