Multistability, local pattern formation, and global collective firing in a small-world network of non-leaky integrate-and-fire neurons

Details Multistability, local pattern formation, and global collective firing in a small-world network of non-leaky integrate-and-fire neurons Multistability, local pattern formation, and global collective firing in a small-world network of non-leaky integrate-and-fire neurons

2012-02-14

arxiv.org/abs/1202.3087v1

Chaos 19, 015109 (2009)

Physics

Computational Physics

Scientific paper

10.1063/1.3087432

We investigate numerically the collective dynamical behavior of pulse-coupled non-leaky integrate-and-fire-neurons that are arranged on a two-dimensional small-world network. To ensure ongoing activity, we impose a probability for spontaneous firing for each neuron. We study network dynamics evolving from different sets of initial conditions in dependence on coupling strength and rewiring probability. Beside a homogeneous equilibrium state for low coupling strength, we observe different local patterns including cyclic waves, spiral waves, and turbulent-like patterns, which -- depending on network parameters -- interfere with the global collective firing of the neurons. We attribute the various network dynamics to distinct regimes in the parameter space. For the same network parameters different network dynamics can be observed depending on the set of initial conditions only. Such a multistable behavior and the interplay between local pattern formation and global collective firing may be attributable to the spatiotemporal dynamics of biological networks.

Affiliated with

Also associated with

No associations

Rating

Multistability, local pattern formation, and global collective firing in a small-world network of non-leaky integrate-and-fire neurons 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 Multistability, local pattern formation, and global collective firing in a small-world network of non-leaky integrate-and-fire neurons, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Multistability, local pattern formation, and global collective firing in a small-world network of non-leaky integrate-and-fire neurons will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-90058