Chaotic Behavior of a Class of Neural Network with Discrete Delays - International Journal of Modern Nonlinear Theory and Application

International Journal of Modern Nonlinear Theory and Application

Volume 2, Issue 1 (March 2013)

ISSN Print: 2167-9479 ISSN Online: 2167-9487

Google-based Impact Factor: 0.27 Citations

Chaotic Behavior of a Class of Neural Network with Discrete Delays ()

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DOI: 10.4236/ijmnta.2013.21A012 3,898 Downloads 7,017 Views Citations

Author(s)

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

Affiliation(s)

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.

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

Share and Cite:

S. Mandal, D. Jana, A. Roy and N. Majee, "Chaotic Behavior of a Class of Neural Network with Discrete Delays," International Journal of Modern Nonlinear Theory and Application, Vol. 2 No. 1A, 2013, pp. 97-101. doi: 10.4236/ijmnta.2013.21A012.

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