Collective chaos in pulse-coupled neural networks
Abstract
We study the dynamics of two symmetrically coupled populations of identical leaky integrate-and-fire neurons characterized by an excitatory coupling. Upon varying the coupling strength, we find symmetry-breaking transitions that lead to the onset of various chimera states as well as to a new regime, where the two populations are characterized by a different degree of synchronization. Symmetric collective states of increasing dynamical complexity are also observed. The computation of the the finite-amplitude Lyapunov exponent allows us to establish the chaoticity of the (collective) dynamics in a finite region of the phase plane. The further numerical study of the standard Lyapunov spectrum reveals the presence of several positive exponents, indicating that the microscopic dynamics is high-dimensional.
Keywords
Cite
@article{arxiv.1010.2957,
title = {Collective chaos in pulse-coupled neural networks},
author = {Simona Olmi and Antonio Politi and Alessandro Torcini},
journal= {arXiv preprint arXiv:1010.2957},
year = {2012}
}
Comments
6 pages, 5 eps figures, to appear on Europhysics Letters in 2010