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 language | English |
|---|---|
| Article number | 60007 |
| Number of pages | 6 |
| Journal | Europhysics Letters |
| Volume | 92 |
| Issue number | 6 |
| DOIs | |
| Publication status | Published - Dec 2010 |
Keywords
- oscillators
- dynamics