Paper
3 June 2019 Emergence of macroscopic chimera states in multilayer multiplex network
Author Affiliations +
Proceedings Volume 11067, Saratov Fall Meeting 2018: Computations and Data Analysis: from Nanoscale Tools to Brain Functions; 110670R (2019) https://doi.org/10.1117/12.2527692
Event: International Symposium on Optics and Biophotonics VI: Saratov Fall Meeting 2018, 2018, Saratov, Russian Federation
Abstract
In this paper we study the dynamics of a multi-layer network composed of identical layers of non-locally coupled Kuramoto-Sakaguchi phase oscillators. Throughout the intensive numerical study we consider three-layer multiplex network and reveal conditions for a specific form of multi-layer network behavior, the macroscopic chimera-like state. It represents an excitation of different spatiotemporal patterns in initially identical layers of multiplex network under their interaction. Also, we show that transition to such macroscopic chimera patterns can be achieved not only variation of phase shift, but according to introduction of heterogeneity of network elements.
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Daniil V. Kirsanov "Emergence of macroscopic chimera states in multilayer multiplex network", Proc. SPIE 11067, Saratov Fall Meeting 2018: Computations and Data Analysis: from Nanoscale Tools to Brain Functions, 110670R (3 June 2019); https://doi.org/10.1117/12.2527692
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KEYWORDS
Oscillators

Mathematical modeling

Systems modeling

Complex systems

Multiplexing

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