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Periodic oscillation of higher-order bidirectional associative memory neural networks with periodic coefficients and delays. (English) Zbl 1136.34055
The authors study the existence of periodic solutions for a class of higher-order BAM neural networks with time delays. Several sufficient conditions are obtained ensuring existence, global attractivity and global asymptotic stability of the periodic solution for higher-order bidirectional associative memory neural networks with periodic coefficients and delays by using the continuation theorem of Mawhin’s coincidence degree theory, a Lyapunov functional and a nonsingular M-matrix. Two example are given to illustrate the effectiveness of the proposed criteria. These results can be used to design globally attractive or globally asymptotically stable networks and thus have important significance in both theory and applications.
MSC:
34K13Periodic solutions of functional differential equations
34K20Stability theory of functional-differential equations
37N25Dynamical systems in biology
92B20General theory of neural networks (mathematical biology)
34K60Qualitative investigation and simulation of models