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Analysis of Equilibria of a Recurrent Neural Network involving Transcendental Function

by Neeraj Sahu, A. K. Verma
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International Journal of Applied Information Systems
Foundation of Computer Science (FCS), NY, USA
Volume 4 - Number 5
Year of Publication: 2012
Authors: Neeraj Sahu, A. K. Verma
10.5120/ijais12-450700

Neeraj Sahu, A. K. Verma . Analysis of Equilibria of a Recurrent Neural Network involving Transcendental Function. International Journal of Applied Information Systems. 4, 5 ( October 2012), 6-12. DOI=10.5120/ijais12-450700

@article{ 10.5120/ijais12-450700,
author = { Neeraj Sahu, A. K. Verma },
title = { Analysis of Equilibria of a Recurrent Neural Network involving Transcendental Function },
journal = { International Journal of Applied Information Systems },
issue_date = { October 2012 },
volume = { 4 },
number = { 5 },
month = { October },
year = { 2012 },
issn = { 2249-0868 },
pages = { 6-12 },
numpages = {9},
url = { https://www.ijais.org/archives/volume4/number5/296-0700/ },
doi = { 10.5120/ijais12-450700 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2023-07-05T10:47:22.699951+05:30
%A Neeraj Sahu
%A A. K. Verma
%T Analysis of Equilibria of a Recurrent Neural Network involving Transcendental Function
%J International Journal of Applied Information Systems
%@ 2249-0868
%V 4
%N 5
%P 6-12
%D 2012
%I Foundation of Computer Science (FCS), NY, 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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Index Terms

Computer Science
Information Sciences

Keywords

Neural network limit cycle nonlinear dynamics learning systems transcendental function equilibrium

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