Basin stability for burst synchronization in small-world networks of chaotic slow-fast oscillators.

Journal: Physical review. E, Statistical, nonlinear, and soft matter physics
Published Date:

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

  • Oleg V Maslennikov
    Institute of Applied Physics, Russian Academy of Sciences, 46 Ul'yanov street, 603950, Nizhny Novgorod, Russia.
  • Vladimir I Nekorkin
  • Jürgen Kurths
    Department of Physics, Nonlinear Dynamics, Cardiovascular Physics, Humboldt-Universität zu Berlin, Germany Potsdam Institute for Climate Impact Research, Germany Institute for Complex Systems and Mathematical Biology, University of Aberdeen, UK.