We discover the mechanisms of emergence and the link between two types of symmetry-broken states, the unbalanced periodic two-cluster states and solitary states, in coupled excitable systems with attractive and repulsive interactions. The prevalent solitary states in non-locally coupled arrays, whose self-organization is based on successive (order preserving) spiking of units, derive their dynamical features from the corresponding unbalanced cluster states in globally coupled networks. Apart from the states with successive spiking, we also find cluster and solitary states where the interplay of excitability and local multiscale dynamics gives rise to so-called leap-frog activity patterns with an alternating order of spiking between the units. We show that the noise affects the system dynamics by suppressing the multistability of cluster states and by inducing pattern homogenization, transforming solitary states into patterns of patched synchrony.
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January 2022
Research Article|
January 11 2022
Unbalanced clustering and solitary states in coupled excitable systems Available to Purchase
Igor Franović
;
Igor Franović
a)
1
Scientific Computing Laboratory, Center for the Study of Complex Systems, Institute of Physics Belgrade, University of Belgrade
, Pregrevica 118, 11080 Belgrade, Serbia
a)Author to whom correspondence should be addressed: [email protected]
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Sebastian Eydam
;
Sebastian Eydam
b)
2
Neural Circuits and Computations Unit, RIKEN Center for Brain Science
, 2-1 Hirosawa, 351-0106 Wako, Japan
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Nadezhda Semenova
;
Nadezhda Semenova
c)
3
Institute of Physics and Department of Fundamental Medicine and Medical Technology, Saratov State University
, Astrakhanskaya str. 83, Saratov 410012, Russia
4
Départment d’Optique P. M. Duffieux, Institut FEMTO-ST, Université Bourgogne-Franche-Comte, CNRS UMR 6174
, Besançon, France
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Anna Zakharova
Anna Zakharova
d)
5
Institut für Theoretische Physik, Technische Universität Berlin
, Hardenbergstr. 36, 10623 Berlin, Germany
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Igor Franović
1,a)
Sebastian Eydam
2,b)
Nadezhda Semenova
3,4,c)
Anna Zakharova
5,d)
1
Scientific Computing Laboratory, Center for the Study of Complex Systems, Institute of Physics Belgrade, University of Belgrade
, Pregrevica 118, 11080 Belgrade, Serbia
2
Neural Circuits and Computations Unit, RIKEN Center for Brain Science
, 2-1 Hirosawa, 351-0106 Wako, Japan
3
Institute of Physics and Department of Fundamental Medicine and Medical Technology, Saratov State University
, Astrakhanskaya str. 83, Saratov 410012, Russia
4
Départment d’Optique P. M. Duffieux, Institut FEMTO-ST, Université Bourgogne-Franche-Comte, CNRS UMR 6174
, Besançon, France
5
Institut für Theoretische Physik, Technische Universität Berlin
, Hardenbergstr. 36, 10623 Berlin, Germany
a)Author to whom correspondence should be addressed: [email protected]
b)
Electronic mail: [email protected]
c)
Electronic mail: [email protected]
d)
Electronic mail: [email protected]
Chaos 32, 011104 (2022)
Article history
Received:
October 29 2021
Accepted:
December 28 2021
Citation
Igor Franović, Sebastian Eydam, Nadezhda Semenova, Anna Zakharova; Unbalanced clustering and solitary states in coupled excitable systems. Chaos 1 January 2022; 32 (1): 011104. https://doi.org/10.1063/5.0077022
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