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Pankratova E. V., Belyh V. N. The peculiarities of transition to complete synchronization in networks of Hodgkin– Huxley elements. Izvestiya VUZ. Applied Nonlinear Dynamics, 2008, vol. 16, iss. 2, pp. 3-17. DOI: 10.18500/0869-6632-2008-16-2-3-17

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The peculiarities of transition to complete synchronization in networks of Hodgkin– Huxley elements

Pankratova Evgenija Valerevna, Volga State Academy of Water Transport (VGAVT)
Belyh Vladimir Nikolaevich, Volga State Academy of Water Transport (VGAVT)

In this paper we consider various networks of mutually coupled identical Hodgkin– Huxley systems. The peculiarities of transition to complete synchronization in networks subjected to suprathreshold periodic driving and common random forcing are examined both theoretically and through numerical simulation. The conditions for global stability of complete synchronization in networks of two «star»-coupled structures are obtained within the framework of connection graph stability method. Various scenarios determining the increase of the number of elements in such ensembles are considered. The behavior of the coupling strength necessary to achieve complete synchronization in the presence of random forcing is examined.

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