Li-Yorke chaos in 2D discrete systems |
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| Authors: | Chuanjun Tian Guanrong Chen |
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| Institution: | 1. Department of Communication, College of Information Engineering, Shenzhen University, Shenzhen, 518060, Guangdong, People’s Republic of China
2. Department of Electronic Engineering, City University of Hong Kong, Hong Kong SAR, People’s Republic of China
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| Abstract: | This paper is concerned with chaos of 2D discrete systems of the form $$x_{m+1,n}=f(x_{m,n},x_{m,n+1}),$$ where f:I 2→I is a function on a bounded subset I of R and m,n∈N 0={0,1,2,…}. A new and illustrative example, different from the coupled map lattice, is shown for such a system to be chaotic in the sense of Li-Yorke. |
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