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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Huang, Y., Zou, X. Co-Existence of Chaos and Stable Periodic Orbits in a Simple Discrete Neural Network. J Nonlinear Sci 15, 291–303 (2005). https://doi.org/10.1007/s00332-005-0647-z
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DOI: https://doi.org/10.1007/s00332-005-0647-z