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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
Article

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.

Keywords

Neural Network Periodic Orbit Economic Theory Chaotic Behavior Large Capacity 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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