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Journal Article

Identification of single- and double-well coherence–incoherence patterns by the binary distance matrix


dos Santos,  Vagner
External Organizations;

Sales,  Matheus Rolim
External Organizations;

Muni,  Sishu Shankar
External Organizations;

Szezech,  José Danilo
External Organizations;

Batista,  Antonio Marcos
External Organizations;


Yanchuk,  Serhiy
Potsdam Institute for Climate Impact Research;


Kurths,  Jürgen
Potsdam Institute for Climate Impact Research;

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dos Santos, V., Sales, M. R., Muni, S. S., Szezech, J. D., Batista, A. M., Yanchuk, S., Kurths, J. (2023): Identification of single- and double-well coherence–incoherence patterns by the binary distance matrix. - Communications in Nonlinear Science and Numerical Simulation, 125, 107390.

Cite as: https://publications.pik-potsdam.de/pubman/item/item_28948
The study of chimera states or, more generally, coherence–incoherence patterns has led to the development of several tools for their identification and characterization. In this work, we extend the eigenvalue decomposition method to distinguish between single-well (SW) and double-well (DW) patterns. By applying our method, we are able to identify the following four types of dynamical patterns in a ring of nonlocally coupled Chua circuits and nonlocally coupled cubic maps: SW cluster, SW coherence–incoherence pattern, DW cluster, and DW coherence–incoherence. In a ring-star network of Chua circuits, we investigate the influence of adding a central node on the spatio-temporal patterns. Our results show that increasing the coupling with the central node favors the occurrence of SW coherence–incoherence states. We observe that the boundaries of the attraction basins resemble fractal and riddled structures.