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Kundu, A., Das, P. and Roy, A.B. (2014) Complex Dynamics of a Four Neuron Network Model Having a Pair of Short-Cut Connections with Multiple Delays. Nonlinear Dynamics, 72, 643-662. http://dx.doi.org/10.1007/s11071-012-0742-2

has been cited by the following article:

• TITLE: Bifurcation and Chaos in Delayed Cellular Neural Network Model

  AUTHORS: Pritha Das, Amitava Kundu

  KEYWORDS: Delayed Cellular Neural Networks, Chaos, Bifurcation, Global Stability

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.2 No.5, April 25, 2014

  ABSTRACT: This paper deals with control of chaotic behavior of a delayed Cellular Neural Network (DCNN) model which is a one-dimensional regular array of four cells with continuous activation function. We investigate different dynamical behaviors including limit cycle, torus, and chaos for different range of weight parameters of the system. Regarding synaptic weight as parameter, Hopf bifurcations are obtained in the system without delay. In the delayed model condition for the Global asymptotic stability of the equilibrium point is presented. Numerical simulation and results are given to show the role of delay in chaos control of the CNNs.