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PERIODIC SOLUTION TO DELAYED HIGH-ORDER COHEN-GROSSBERG NEURAL NETWORKS WITH REACTION-DIFFUSION TERMS  

Lv, Teng (Teaching and Research Section of Computer, Artillery Academy)
Yan, Ping (College of Mathematics and System Science, Xinjiang University)
Publication Information
Journal of applied mathematics & informatics / v.28, no.1_2, 2010 , pp. 295-309 More about this Journal
Abstract
In this paper, we study delayed high-order Cohen-Grossberg neural networks with reaction-diffusion terms and Neumann boundary conditions. By using inequality techniques and constructing Lyapunov functional method, some sufficient conditions are given to ensure the existence and convergence of the periodic oscillatory solution. Finally, an example is given to verify the theoretical analysis.
Keywords
Cohen-Grossberg neural networks; reaction-diffusion terms; inequality technique; Lyapunov functional;
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