Title | ||
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Nonnegative periodic dynamics of delayed Cohen-Grossberg neural networks with discontinuous activations |
Abstract | ||
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In this paper, we study the nonnegative periodic dynamics of the delayed Cohen-Grossberg neural networks with discontinuous activation functions and periodic interconnection coefficients, self-inhibitions, and external inputs. Filippov theory is utilized to study the viability, namely, the existence of the solution of the Cauchy problem. Under some conditions, the existence and the asymptotical stability of a periodic solution are derived. Numerical examples are provided to illustrate the theoretical results. |
Year | DOI | Venue |
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2010 | 10.1016/j.neucom.2010.04.006 | Neurocomputing |
Keywords | Field | DocType |
periodic solution,periodic interconnection coefficient,filippov theory,nonnegative periodic dynamic,discontinuous activation function,asymptotical stability,external input,numerical example,delayed cohen-grossberg neural network,cauchy problem,differential inclusions,asymptotic stability,differential inclusion,activation function | Differential inclusion,Applied mathematics,Pattern recognition,Mathematical analysis,Artificial intelligence,Initial value problem,Interconnection,Artificial neural network,Periodic graph (geometry),Mathematics | Journal |
Volume | Issue | ISSN |
73 | 13-15 | Neurocomputing |
Citations | PageRank | References |
10 | 0.53 | 15 |
Authors | ||
3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Xiangnan He | 1 | 14 | 1.98 |
Wenlian Lu | 2 | 370 | 25.19 |
Tianping Chen | 3 | 3095 | 250.77 |