论文信息 - Chaos in Simple Cellular Neural Networks with Connection Matrices Satisfying Dale's Rule

Chaos in Simple Cellular Neural Networks with Connection Matrices Satisfying Dale's Rule

In this paper, it is shown that chaos can take place in simple three-dimensional cellular neural networks with connection matrices satisfying Dale's rule. In addition, a rigorous computer-assisted verification of chaoticity in these cellular neural networks is given by virtue of topological horseshoe theory.

Xiao-Song Yang | Qingdu Li

[1] Xiao-Song Yang,et al. Horseshoes in piecewise continuous maps , 2004 .

[2] Atin Das,et al. Chaos in a three dimensional neural network , 2000 .

[3] Xiao-Song Yang,et al. Chaos and Hyperchaos in a Class of Simple Cellular Neural Networks Modeled by O.D.E , 2006, Int. J. Bifurc. Chaos.

[4] Lin-Bao Yang,et al. Cellular neural networks: theory , 1988 .

[5] Xiao-Song Yang,et al. Chaos and transient chaos in simple Hopfield neural networks , 2005, Neurocomputing.

[6] F. Zou,et al. Bifurcation and chaos in cellular neural networks , 1993 .

[7] Leon Glass,et al. Nonlinear Dynamics and Symbolic Dynamics of Neural Networks , 1992, Neural Computation.

[8] Carlos Lourenço,et al. Brain Chaos and Computation , 1996, Int. J. Neural Syst..

[9] A. Das,et al. Chaos in a Three-Dimensional General Model of Neural Network , 2002, Int. J. Bifurc. Chaos.

[10] Yan Huang,et al. A New Class of Chaotic Simple Three-Neuron Cellular Neural Networks , 2006, Int. J. Bifurc. Chaos.

[11] Xiao-Song Yang,et al. Horseshoe Chaos in Cellular Neural Networks , 2006, Int. J. Bifurc. Chaos.