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Conference publications

Mathematically modelling branched hydraulic systems

Kassina N. V., Smirnov L. V.

Russia, Nizhny Novgorod

"Математика. Компьютер. Образование". Cб. трудов XIII международной конференции. Под общей редакцией Г.Ю. Ризниченко Ижевск: Научно-издательский центр "Регулярная и хаотическая динамика", 2006. Vol. 2, 498pp. Pp. 216-226.

Solving the problem of stationary stream distribution for an arbitrary volume-free hydrosystem with a free level can be reduced to determining the extremes of a multi-variable function. Rayleigh’s function expressed in terms of the hydraulic characteristics of the parts of the system in question is used as such a function. The same function is Lyapounov’s function when analysing the stability of the determined stationary operational modes of a hydrosystem using the direct Lyapounov’s method.



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