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Zbl 1098.37069
Huang, Y.; Zou, X.
Co-existence of chaos and stable periodic orbits in a simple discrete neural network. (English)
[J] J. Nonlinear Sci. 15, No. 5, 291-303 (2005). ISSN 0938-8974; ISSN 1432-1467/e

Summary: We show that a simple discrete network of two identical neurons can demonstrate chaotic behavior near the origin. This is complementary to the results due to {\it J. Wu} and {\it R. Zhang} [Discrete Contin. Dyn. Syst., Ser. B 4, 851-863 (2004; Zbl 1115.92003)], where it was shown that the same system can have a large capacity of stable periodic orbits in a region away from the origin.

MSC 2000:: *37N25 Dynamical systems in biology
37C27 Periodic orbits of vector fields and flows
37D45 Strange attractors, chaotic dynamics
39A11 Stability of difference equations
82C32 Neural nets
92B20 General theory of neural networks

Keywords: neural network; discrete; delay; chaos; capacity; associate memory; periodic solutions

Citations: Zbl 1115.92003

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