Collective oscillations in disordered neural networks

Details Collective oscillations in disordered neural networks Collective oscillations in disordered neural networks

2010-02-26

arxiv.org/abs/1002.4993v1

Physical Review E 81, 046119 (2010)

Physics

Condensed Matter

Disordered Systems and Neural Networks

8.5 Pages, 12 figures, submitted to Physical Review E

Scientific paper

10.1103/PhysRevE.81.046119

We investigate the onset of collective oscillations in a network of pulse-coupled leaky-integrate-and-fire neurons in the presence of quenched and annealed disorder. We find that the disorder induces a weak form of chaos that is analogous to that arising in the Kuramoto model for a finite number N of oscillators [O.V. Popovych at al., Phys. Rev. E 71} 065201(R) (2005)]. In fact, the maximum Lyapunov exponent turns out to scale to zero for N going to infinite, with an exponent that is different for the two types of disorder. In the thermodynamic limit, the random-network dynamics reduces to that of a fully homogenous system with a suitably scaled coupling strength. Moreover, we show that the Lyapunov spectrum of the periodically collective state scales to zero as 1/N^2, analogously to the scaling found for the `splay state'.

Affiliated with

Also associated with

No associations

Rating

Collective oscillations in disordered neural 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 Collective oscillations in disordered neural networks, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Collective oscillations in disordered neural networks will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-289856