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Stability and chaos in a class of finite-dimensional discrete spatiotemporal systems

โœ Scribed by Chuanjun Tian; Guanrong Chen; Shengli Xie

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
417 KB
Volume
56
Category
Article
ISSN
0898-1221

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โœฆ Synopsis

This paper is concerned with a class of finite-dimensional discrete spatiotemporal systems of the form

where k > 0 is an integer, f i : R k+2 โ†’ R is a real function for all i = 1, 2, . . . , k, m โˆˆ N 0 = {0, 1, 2, . . .} and n โˆˆ Z = {. . . , -1, 0, 1, . . .} (or, n โˆˆ N 0 in some special cases).

Definitions of chaos of this system in the sense of Devaney and of Li-Yorke are given. Some sufficient conditions for this system to be stable and some illustrative examples for this system to be chaotic in the sense of Devaney and of Li-Yorke, respectively, are derived.

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