Can distributed delays perfectly stabilize dynamical networks?

Details Can distributed delays perfectly stabilize dynamical networks? Can distributed delays perfectly stabilize dynamical networks?

2007-10-18

arxiv.org/abs/0710.3475v1

PHYSICAL REVIEW E 77, 046214 (2008)

Physics

Condensed Matter

Disordered Systems and Neural Networks

4pages 5figures

Scientific paper

10.1103/PhysRevE.77.046214

Signal transmission delays tend to destabilize dynamical networks leading to oscillation, but their dispersion contributes oppositely toward stabilization. We analyze an integro-differential equation that describes the collective dynamics of a neural network with distributed signal delays. With the gamma distributed delays less dispersed than exponential distribution, the system exhibits reentrant phenomena, in which the stability is once lost but then recovered as the mean delay is increased. With delays dispersed more highly than exponential, the system never destabilizes.

Affiliated with

Also associated with

No associations

Rating

Can distributed delays perfectly stabilize dynamical networks? 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 Can distributed delays perfectly stabilize dynamical networks?, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Can distributed delays perfectly stabilize dynamical networks? will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-461105