Coupling Strength Impact on the Synchronisation Degree in a Two-layer Network with Sparse Intercoupling
T.R. Bogatenko1, A.V. Bukh1, G.I. Strelkova1
1Saratov State University, Saratov, Russia
Abstract
In the research we study an impact of intra- and intercoupling strength on a synchronisation effect in a two-layer network of logistic maps with sparse intercoupling. Oscillators within a layer are coupled nonlocally. The two layers are coupled locally; intercoupling defects are distributed randomly across all the connections. On the first stage of the research we study the influence of the symmetrical intercoupling value γ on the ability of the layers to synchronise while changing the amount of the intercoupling defects. We consider the system for several intracoupling values which remain constant. The second stage of the research is devoted to the effect the intracoupling strength σ has on the synchronisation degree in the system for several constant values of the intercoupling strength γ. It was discovered that complete forced and mutual synchronisation can still be observed in the system, even provided the presence of intra- or intercoupling defects. Were determined the value ranges of coupling strengths when this effect is observed.
Speaker
Tatiana Bogatenko
Saratov State University
Russia
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