Mathematical Theory and Applications ›› 2016, Vol. 36 ›› Issue (3): 25-36.

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Noise Supress Exponential Growth for Cohen-Grossberg Neural Networks

Juanjun Wang, Qiao Lin, Hui Su   

  1. School of Mathematics and Statistics,Changsha University of Science and Technology,Changsha 410004,China

  • Online:2016-09-30 Published:2020-09-27

Abstract: In this letter,we will show that noise can make a given Cohen-Grossberg neural networks whose solution may grows exponentially become the new stochastic Cohen-Grossberg neural networks whose solution will grow at most polynomially.In other words,we reveal that the noise can suppress the exponential growth for Cohen-Grossberg neural networks.

Key words: Exponential growth, Polynomial growth, Markov chain, Cohen-Grossberg neural networks