Formation of synchronous activity patterns is an essential property of neuronal networks that has been of central interest to synchronization theory. Chimera states, where both synchronous and asynchronous activities of neurons co-exist in a single network, are particularly poignant examples of such patterns, whose dynamics and multistability may underlie brain function, such as cognitive tasks. However, dynamical mechanisms of coherent state formation in spiking neuronal networks as well as ways to control these states remain unclear. In this paper, we take a step in this direction by considering the evolution of chimera states in a network of class II excitable Morris–Lecar neurons with asymmetrical nonlocal inhibitory connections. Using the adaptive coherence measure, we are able to partition the network parameter space into regions of various collective behaviors (antiphase synchronous clusters, traveling waves, different types of chimera states as well as a spiking death regime) and have shown multistability between the various regimes. We track the evolution of the chimera states as a function of changed key network parameters and found transitions between various types of chimera states. We further find that the network can demonstrate long transients leading to quasi-persistence of activity patterns in the border regions hinting at near-criticality behaviors.
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October 2022
Research Article|
October 07 2022
Multistability and evolution of chimera states in a network of type II Morris–Lecar neurons with asymmetrical nonlocal inhibitory connections
O. Dogonasheva
;
O. Dogonasheva
(Conceptualization, Formal analysis, Investigation, Methodology, Software, Visualization, Writing – original draft, Writing – review & editing)
1
Group of Neural Theory, École Normale Supérieure PSL University
, Paris 75005, France
2
Centre for Cognition and Decision Making, National Research University Higher School of Economics
, Moscow 101000, Russia
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Dmitry Kasatkin
;
Dmitry Kasatkin
(Methodology, Writing – review & editing)
3
Department of Nonlinear Dynamics, Institute of Applied Physics RAS
, Nizhny Novgorod 603155, Russia
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Boris Gutkin
;
Boris Gutkin
(Funding acquisition, Investigation, Project administration, Resources, Supervision, Writing – original draft, Writing – review & editing)
1
Group of Neural Theory, École Normale Supérieure PSL University
, Paris 75005, France
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Denis Zakharov
Denis Zakharov
a)
(Conceptualization, Investigation, Methodology, Project administration, Supervision, Validation, Writing – original draft, Writing – review & editing)
2
Centre for Cognition and Decision Making, National Research University Higher School of Economics
, Moscow 101000, Russia
a)Author to whom correspondence should be addressed: dgzakharov@hse.ru
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a)Author to whom correspondence should be addressed: dgzakharov@hse.ru
Chaos 32, 101101 (2022)
Article history
Received:
August 02 2022
Accepted:
September 12 2022
Citation
O. Dogonasheva, Dmitry Kasatkin, Boris Gutkin, Denis Zakharov; Multistability and evolution of chimera states in a network of type II Morris–Lecar neurons with asymmetrical nonlocal inhibitory connections. Chaos 1 October 2022; 32 (10): 101101. https://doi.org/10.1063/5.0117845
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