Chaotic Behavior of a Class of Neural Network with Discrete Delays

S. Mandal, D. Jana, A. B. Roy, N. C. Majee

Centre for Mathematical Biology and Ecology, Department of Mathematics, Jadavpur University, Kolkata, India.
Department of Mathematics, Jadavpur University, Kolkata, India.
Department of Mathematics, JIS College of Engineering, Kalyani, India.

DOI: 10.4236/ijmnta.2013.21A012                

Abstract

In this paper, the effect of neuronal gain in discrete delayed neural network model is investigated. It is observed that such neural networks become highly chaotic due to the presence of high neuronal gain. On the basis of the largest Lyapunov exponent and largest eigenvalue of Jacobian matrix, chaos analysis has been done. Finally, some numerical simulations are presented to justify our results.

Keywords

Neuronal Gain; Chaos; Lyapunov Exponent; Jacobian Matrix

Conflicts of Interest

The authors declare no conflicts of interest.

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