Summary
2007 International Symposium on Nonlinear Theory and its Applications
2007
Session Number:19PM1-D
Session:
Number:19PM1-D-1
Bifurcation of Nonlinear Spring Model of Self-Organizing Map
Haruna MATSUSHITA, Yoshifumi NISHIO,
pp.525-528
Publication Date:2007/9/16
Online ISSN:2188-5079
DOI:10.34385/proc.41.19PM1-D-1
Summary:
The Self-Organizing Map (SOM) is an unsupervised neural network introduced by Kohonen and is a model simplifying self-organization process of the brain. However, SOM is still far away from the realization of the brain mechanism. In order to realize more powerful and more flexible mechanism, it is important to propose new models of the brain mechanism and to investigate their behaviors. In our previous research, as the first step to realize a new nonlinear spring model of SOM, we have proposed a simple one dimensional 2-neuron model connected by a nonlinear spring. In this study, in order to investigate the behavior of the nonlinear spring model of SOM, we calculate one-parameter bifurcation diagram and the largest Lyapunov exponent of the proposed model. Computer simulated results show that the neurons oscillate chaotically.