Русская версия
ISSN 1817-2172, рег. Эл. № ФС77-39410, ВАК

Differential Equations and Control Processes
(Differencialnie Uravnenia i Protsesy Upravlenia)

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Bifurcation and Synchronization Control of Two Coupled Two-dimensional Hindmarsh-Rose Systems

Author(s):

Julia Vacheslavovna Raznoglazova

ITMO University
197101, St. Petersburg
Kronverkski pr.49-А

3janvar-julia@mail.ru

Sergei Aleksandrovich Plotnikov

Institute for Problems in Mechanical Engineering, RAS (IPME RAS)
senior researcher
199178, St. Petersburg,
Bolshoi pr.61
Lobachevski State University
researcher
603950, Nignii Novgorod
Gagarin pr. 23

waterwalf@gmail.com

Abstract:

In this paper we consider local bifurcations of the two-dimensional Hindmarsh-Rose system describing the dynamics of electrical activity of an individual biological neuron. The problem of synchronization control of two coupled two-dimensional Hindmarsh-Rose systems is solved. The control algorithm with known parameters of the Hindmarsh-Rose systems and the based on the speed gradient method adaptive algorithm for the systems with unknown parameters are designed.

Keywords

References:

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