Hopf Bifurcation and Chaos in Tabu Learning Neuron Models

Details Hopf Bifurcation and Chaos in Tabu Learning Neuron Models Hopf Bifurcation and Chaos in Tabu Learning Neuron Models

2004-11-10

arxiv.org/abs/nlin/0411028v1

Nonlinear Sciences

Chaotic Dynamics

14 pages, 13 figures, Accepted by International Journal of Bifurcation and Chaos

Scientific paper

In this paper, we consider the nonlinear dynamical behaviors of some tabu leaning neuron models. We first consider a tabu learning single neuron model. By choosing the memory decay rate as a bifurcation parameter, we prove that Hopf bifurcation occurs in the neuron. The stability of the bifurcating periodic solutions and the direction of the Hopf bifurcation are determined by applying the normal form theory. We give a numerical example to verify the theoretical analysis. Then, we demonstrate the chaotic behavior in such a neuron with sinusoidal external input, via computer simulations. Finally, we study the chaotic behaviors in tabu learning two-neuron models, with linear and quadratic proximity functions respectively.

Affiliated with

Also associated with

No associations

Rating

Hopf Bifurcation and Chaos in Tabu Learning Neuron Models does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Hopf Bifurcation and Chaos in Tabu Learning Neuron Models, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Hopf Bifurcation and Chaos in Tabu Learning Neuron Models will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-274084