title: Basin stability for burst synchronization in small-world networks of chaotic slow-fast oscillators.
abstract: The impact of connectivity and individual dynamics on the basin stability of the burst synchronization regime in small-world networks consisting of chaotic slow-fast oscillators is studied. It is shown that there are rewiring probabilities corresponding to the largest basin stabilities, which uncovers a reason for finding small-world topologies in real neuronal networks. The impact of coupling density and strength as well as the nodal parameters of relaxation or excitability are studied. Dynamic mechanisms are uncovered that most strongly influence basin stability of the burst synchronization regime.
authors.affiliation: Institute of Applied Physics, Russian Academy of Sciences, 46 Ul'yanov street, 603950, Nizhny Novgorod, Russia.
authors.forename: Oleg V
authors.initials: OV
authors.lastname: Maslennikov
authors.affiliation: Institute of Applied Physics, Russian Academy of Sciences, 46 Ul'yanov street, 603950, Nizhny Novgorod, Russia.
authors.forename: Vladimir I
authors.initials: VI
authors.lastname: Nekorkin
authors.affiliation: Institute of Applied Physics, Russian Academy of Sciences, 46 Ul'yanov street, 603950, Nizhny Novgorod, Russia.|Potsdam Institute for Climate Impact Research, Telegraphenberg, D-14415 Potsdam, Germany.
authors.forename: Jürgen
authors.initials: J
authors.lastname: Kurths
mesh_terms: D000200:Action Potentials; D016571:Neural Networks, Computer; D017711:Nonlinear Dynamics; D009991:Oscillometry