Chunfang Miao, Yunquan Ke, "Mean Square Stability of Periodic Solution for Stochastic Cohen-Grossberg-Type BAM Neural Networks with Delays," WSEAS Transactions on Mathematics, vol. 11, pp. -, 2012, DOI:
Chunfang Miao, Yunquan Ke. Mean Square Stability of Periodic Solution for Stochastic Cohen-Grossberg-Type BAM Neural Networks with Delays.
WSEAS Transactions on Mathematics. 2012;11:-.
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 11, 2012
Mean Square Stability of Periodic Solution for Stochastic Cohen-Grossberg-Type BAM Neural Networks with Delays
Authors: ,
Abstract: In this paper, the mean square exponential stability of the periodic solution of stochastic Cohen- Grossberg-Type BAM neural networks with delays are investigated. By constructing suitable Lyapunov function, applying Itˆo formula, integral mean-value theorem and Poincar´e mapping, we give several sufficient conditions to guarantee the mean square exponential stability of the periodic solution of the system. An illustrative example is also given in the end to show the effectiveness of our results.
Keywords:
Stochastic Cohen-Grossberg-type BAM neural networks, Itˆo formula, Poincar´e mapping, periodic solution, mean square exponential stability
Pages: - WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 11, 2012DOI: *As the DOI is a unique identifier, it is already available in the pdf version.
**The DOI link will be activated in the first midst of January 2026.
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