Co-Existence of Chaos and Stable Periodic Orbits in a Simple Discrete Neural Network |
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| Authors: | Y. Huang X. Zou |
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| Affiliation: | (1) Department of Mathematics, Zhongshan University, Guangzhou 510275, P. R. China;(2) Department of Applied Mathematics, University of Western Ontario, London, Ontario, N6A 5B7, Canada |
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| Abstract: | We show that a simple discrete network of two identical neurons can demonstrate chaotic behavior near the origin. This is complementary to the results in Wu and Zhang (Disc. Contin. Dynam. Syst. Series B, 4 (2004), 853-865), where it was shown that the same system can have a large capacity of stable periodic orbits in a region away from the origin. |
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