Calculation of travelling chimera speeds for dynamical systems with ring topologies

Travelling chimera states are a dynamical regime in homogeneous networks where coherent and incoherent domains coexist and the latter moves across the network with time. For such travelling chimeras we can define its speed as a number of elements by which an incoherent domain is shifted per unit tim...

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Bibliographic Details
Published in2021 5th Scientific School Dynamics of Complex Networks and their Applications (DCNA) pp. 61 - 64
Main Authors Dogonasheva, Olesia, Gutkin, Boris, Zakharov, Denis
Format Conference Proceeding
LanguageEnglish
Published IEEE 13.09.2021
Subjects
Biological neural networks
Complex networks
Dynamical systems
Neurons
spiking neural networks
synchronization
Topology
travelling chimera
travelling chimera speed
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Summary:Travelling chimera states are a dynamical regime in homogeneous networks where coherent and incoherent domains coexist and the latter moves across the network with time. For such travelling chimeras we can define its speed as a number of elements by which an incoherent domain is shifted per unit time. In this paper, we propose a new approach to calculate the speed of such traveling chimeras. We validate our method by computing the travelling chimera speed in a ring of type-II Morris-Lecar neurons with asymmetrical nonlocal inhibitory connectivity. The main advantage of our approach is that all computations of the speed can be done automatically, opening new opportunities for large-scale scanning and analysis of parametric regions in dynamic systems.
DOI:10.1109/DCNA53427.2021.9586903