The research of the formation of phase portraits of linear second-order systems taking into account the dynamic characteristics of the model
И В КовалевKrasnoyarsk State Agrarian University, Krasnoyarsk, RussiaNafisa KulmurodovaNavoi State University of Mining and Technology, Navoi, UzbekistanМ В СарамудReshetnev Siberian State University of Science and Technology, Krasnoyarsk, RussiaAndrey KalininReshetnev Siberian State University of Science and Technology, Krasnoyarsk, RussiaDmitry BorovinskyFSBEE HE Siberian Fire and Rescue Academy EMERCOM of Russia, Zheleznogorsk, Russia
ABI
Abstract
The article discusses the phase space method, widely used in physics and mathematics, from the perspective of studying dynamic systems. A second-order linear system is considered, a vectorized model of the analog equivalent of the system is constructed. A system interface has been developed that allows changing the model coefficients in real time, which simulates the process of generating disturbing influences. The equilibrium positions of the system are determined, such as “stable focus”, “unstable focus”, “center”. In the process of studying the dynamic model of a second-order linear system, phase portraits and graphs of transient characteristics were obtained.
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