Collective chaos in pulse-coupled neural networks

S. Olmi, A. Politi, A. Torcini

Research output: Contribution to journalArticle

75 Citations (Scopus)

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. Copyright (C) EPLA, 2010

Original languageEnglish
Article number60007
Number of pages6
JournalEurophysics Letters
Volume92
Issue number6
DOIs
Publication statusPublished - Dec 2010

Keywords

  • oscillators
  • dynamics

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