Journal of Nonlinear Science

, Volume 15, Issue 5, pp 291–303 | Cite as

Co-Existence of Chaos and Stable Periodic Orbits in a Simple Discrete Neural Network

  • Y. Huang
  • X. Zou


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.


Neural Network Periodic Orbit Economic Theory Chaotic Behavior Large Capacity 
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Copyright information

© Springer 2005

Authors and Affiliations

  1. 1.Department of Mathematics, Zhongshan University, Guangzhou 510275P. R. China
  2. 2.Department of Applied Mathematics, University of Western Ontario, London, Ontario, N6A 5B7Canada

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