Collective chaos in pulse-coupled neural networks

Details Collective chaos in pulse-coupled neural networks Collective chaos in pulse-coupled neural networks

2010-10-14

arxiv.org/abs/1010.2957v2

EPL, 92 (2010) 60007

Physics

Condensed Matter

Disordered Systems and Neural Networks

6 pages, 5 eps figures, to appear on Europhysics Letters in 2010

Scientific paper

10.1209/0295-5075/92/60007

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.

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