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Multistability and multiperiodicity of delayed Cohen-Grossberg neural networks with a general class of activation functions. (English) Zbl 1161.34044
The authors investigate multistability and multiperiodicity for Cohen-Grossberg neural networks with time-varying delays and a general class of activation functions. The main results are obtained by using analysis and decomposition of state space as well as the Cauchy convergence principle. Three examples are given to illustrate the effectiveness of the obtained results.

MSC:
34K20 Stability theory of functional-differential equations
92B20 Neural networks for/in biological studies, artificial life and related topics
34K13 Periodic solutions to functional-differential equations
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