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Analysis of Equilibria of a Recurrent Neural Network involving Transcendental Function

Neeraj Sahu, A. K. Verma Published in Artificial Intelligence

International Journal of Applied Information Systems
Year of Publication 2012
© 2010 by IJAIS Journal
10.5120/ijais12-450700
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  1. Neeraj Sahu and A K Verma. Article: Analysis of Equilibria of a Recurrent Neural Network involving Transcendental Function. International Journal of Applied Information Systems 4(5):6-12, October 2012. BibTeX

    @article{key:article,
    	author = "Neeraj Sahu and A. K. Verma",
    	title = "Article: Analysis of Equilibria of a Recurrent Neural Network involving Transcendental Function",
    	journal = "International Journal of Applied Information Systems",
    	year = 2012,
    	volume = 4,
    	number = 5,
    	pages = "6-12",
    	month = "October",
    	note = "Published by Foundation of Computer Science, New York, USA"
    }
    

Abstract

In this paper we present four node recurrent neural networks system with three weight parameters. This closed recurrent neural network generates a limit cycle. In this system for which the equation of equilibria involves transcendental function tan h(X) and its iterates. The network is shown to trains a desired periodic signal by varying weights.

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Keywords

Neural network, limit cycle, nonlinear dynamics, learning systems, transcendental function, equilibrium