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Vladikavkazskii Matematicheskii Zhurnal, 2013, Volume 15, Number 1, Pages 30–40 (Mi vmj448)  
Dynamic systems described by two differential equations with derivatives of fractional order

M. A. Nazaraliev, V. D. Beibalaev

Daghestan State University, Russia, Makhachkala
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Abstract: Dynamic systems described by two differential equations of fractional order are considered. The behavior of phase trajectories in case of real roots of the characteristic equation is investigated. Phase trajectories for various values of parameter are constructed and system transition from one dynamic state to another is established.
Key words: dynamic system, fractional derivative, phase trajectories, phase portrait, characteristic equation.
Received: 27.01.2011
Document Type: Article
UDC: 517.958
Language: Russian
Citation: M. A. Nazaraliev, V. D. Beibalaev, “Dynamic systems described by two differential equations with derivatives of fractional order”, Vladikavkaz. Mat. Zh., 15:1 (2013), 30–40
Citation in format AMSBIB
\Bibitem{NazBey13}
\by M.~A.~Nazaraliev, V.~D.~Beibalaev
\paper Dynamic systems described by two differential equations with derivatives of fractional order
\jour Vladikavkaz. Mat. Zh.
\yr 2013
\vol 15
\issue 1
\pages 30--40
\mathnet{http://mi.mathnet.ru/vmj448}
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