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

Oleg V. Maslennikov, Vladimir I. Nekorkin, and Jürgen Kurths
Phys. Rev. E 92, 042803 – Published 6 October 2015

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.

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  • Received 6 May 2015
  • Revised 9 September 2015

DOI:https://doi.org/10.1103/PhysRevE.92.042803

©2015 American Physical Society

Authors & Affiliations

Oleg V. Maslennikov1, Vladimir I. Nekorkin1, and Jürgen Kurths1,2

  • 1Institute of Applied Physics, Russian Academy of Sciences, 46 Ul'yanov street, 603950, Nizhny Novgorod, Russia
  • 2Potsdam Institute for Climate Impact Research, Telegraphenberg, D-14415 Potsdam, Germany

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Issue

Vol. 92, Iss. 4 — October 2015

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