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Chaotic Behavior of a Class of Neural Network with Discrete Delays

¹ Department of Mathematics, JIS College of Engineering, Kalyani, India
² Centre for Mathematical Biology and Ecology, Department of Mathematics, Jadavpur University, Kolkata, India
³ Department of Mathematics, Jadavpur University, Kolkata, India
⁴ Department of Mathematics, Jadavpur University, Kolkata, India

International Journal of Modern Nonlinear Theory and Application·Volume 02 (2013)·Pages 97–101·Published 29 March 2013·DOI10.4236/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.

KeywordsNeuronal GainChaosLyapunov ExponentJacobian Matrix

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Chaotic Behavior of a Class of Neural Network with Discrete Delays

Abstract

References (20)