Multiperiodicity analysis of a class of high-order Cohen-Grossberg neural networks
Huizhong Yang · Kongzhi yu juece · 2009
The multiperiodicity of a class of high-order Cohen-Grossberg neural networks with special activation functions is discussed by using decomposition of the state space.The activation functions of this class of neural networks indude nondecreasing functions with saturation,standard activation functions of cellular neural networks,etc.A sufficient condition for guaranteeing periodic orbits of this kind of networks to be locally exponentially convergent in saturation regions is obtained.The results show that an n-dimension neural network can have 2n periodic orbits located in saturation regions and these periodic orbits are locally exponentially convergent.Finally,a numerical example shows the effectiveness of the results.