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

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 uncove...

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Bibliographic Details
Published inPhysical review. E, Statistical, nonlinear, and soft matter physics Vol. 92; no. 4; p. 042803
Main Authors Maslennikov, Oleg V, Nekorkin, Vladimir I, Kurths, Jürgen
Format Journal Article
LanguageEnglish
Published United States 01.10.2015
Subjects
Action Potentials
Neural Networks (Computer)
Nonlinear Dynamics
Oscillometry
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Summary: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.
ISSN:1550-2376
DOI:10.1103/PhysRevE.92.042803