https://doi.org/10.1051/epjconf/202531804007
The research of the formation of phase portraits of linear second-order systems taking into account the dynamic characteristics of the model
1 Siberian Federal University, Krasnoyarsk, Russia
2 Reshetnev Siberian State University of Science and Technology, Krasnoyarsk, Russia
3 Krasnoyarsk State Agrarian University, Krasnoyarsk, Russia
4 Navoi State University of Mining and Technology, Navoi, Uzbekistan
5 FSBEE HE Siberian Fire and Rescue Academy EMERCOM of Russia, Zheleznogorsk, Russia
* Corresponding author: kovalev.fsu@mail.ru
Published online: 17 February 2025
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.
© The Authors, published by EDP Sciences, 2025
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
