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Existence and global stability of periodic solution for delayed discrete high-order Hopfield-type neural networks. (English) Zbl 1135.39008
Summary: By using coincidence degree theory as well as a priori estimates and Lyapunov functional, we study the existence and global stability of periodic solution for discrete delayed high-order Hopfield-type neural networks. We obtain some easily verifiable sufficient conditions to ensure that there exists a unique periodic solution, and all theirs solutions converge to such a periodic solution.
MSC:
39A11Stability of difference equations (MSC2000)
37N25Dynamical systems in biology
82C32Neural nets (statistical mechanics)
92B20General theory of neural networks (mathematical biology)