2010/10/31 by Simona Olmi, Antonio Politi, Alessandro Torcini · 1 citation
Physics and Astronomy · #cond-mat.dis-nn #nlin.CD #physics.bio-ph
paper · pdf · doi:10.1209/0295-5075/92/60007
published as EPL, 92 (2010) 60007 · 6 pages, 5 eps figures, to appear on Europhysics Letters in 2010
arxiv created 2010/12/07 · arxiv updated 2012/08/02
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.