title: Synchronization and propagation of bursts in networks of coupled map neurons.
abstract: The present paper studies regular and complex spatiotemporal behaviors in networks of coupled map-based bursting oscillators. In-phase and antiphase synchronization of bursts are studied, explaining their underlying mechanisms in order to determine how network parameters separate them. Conditions for emergent bursting in the coupled system are derived from our analysis. In the region of emergence, patterns of chaotic transitions between synchronization and propagation of bursts are found. We show that they consist of transient standing and rotating waves induced by symmetry-breaking bifurcations, and can be viewed as a manifestation of the phenomenon of chaotic itinerancy.
authors.affiliation: Institute of Industrial Science, University of Tokyo, 153-8505, Tokyo, Japan. gouhei@sat.t.u-tokyo.ac.jp
authors.forename: Gouhei
authors.initials: G
authors.lastname: Tanaka
authors.forename: Borja
authors.initials: B
authors.lastname: Ibarz
authors.forename: Miguel A F
authors.initials: MA
authors.lastname: Sanjuan
authors.forename: Kazuyuki
authors.initials: K
authors.lastname: Aihara
mesh_terms: D000200:Action Potentials / Q000502:physiology*; D000818:Animals; D001683:Biological Clocks / Q000502:physiology*; D003198:Computer Simulation; D006801:Humans; D008959:Models, Neurological; D015233:Models, Statistical; D009415:Nerve Net / Q000502:physiology*; D009434:Neural Pathways / Q000502:physiology; D009474:Neurons / Q000502:physiology*; D017711:Nonlinear Dynamics; D009435:Synaptic Transmission / Q000502:physiology*; D013997:Time Factors