Dynamic systems described by two differential equations with derivatives of fractional order

Nazaraliev M. A. , Beibalaev V. D.
Vladikavkaz Mathematical Journal 2013. Vol. 15. Issue 1.

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.

Keywords: dynamic system, fractional derivative, phase trajectories, phase portrait, characteristic equation

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