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Synchronization conditions in networks of Hindmarsh-Rose systems

Sergei Plotnikov
The algebraic connectivity is crucial parameter in studying of synchronization of diffusively coupled networks. This paper studies the synchronization in networks of Hindmarsh-Rose systems, which is one of the most used neuron models. It presents sufficient condition for synchronization in these networks using the Lyapunov
function method. This is a simple condition which depends on the algebraic connectivity and on the parameters of the individual system. Numerical examples are presented to illustrate the obtained results.
CYBERNETICS AND PHYSICS, Vol. 10, No. 4. 2021, 254-259. https://doi.org/10.35470/2226-4116-2021-10-4-254-259
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