NUMERICAL MODELING AND ANALYSIS OF NONLINEAR HYBRID SYSTEMS
Keywords:
nonlinear systems, hybrid systems, numerical modeling, differential equations, system stability, numerical integration, discrete-continuous systems.Abstract
Numerical modeling methods for nonlinear hybrid systems have significant mathematical and practical importance. This article examines the analysis of systems that include both continuous and discrete components, as well as issues related to their numerical integration. The application of numerical methods based on an accurate model, their computational efficiency, and the correspondence of results to real systems are evaluated. Additionally, the composition of hybrid systems and the stability of their solutions are analyzed. The research results contribute to the expansion of theoretical and applied aspects of hybrid system modeling.
References
Alan C. Hindmarsh, Odepack, a systematized collection of ODE solvers, in scientific computing, R.S.Stepleman Et Al. (Eds.), North-Holland, Amsterdam, 1983, pp. 55-64.
C.L.Lawson, R.J.Hanson, D.R.Kincaird, F.T.Krogh. Basic linear algebra subprograms for Fortran usage. ACM Tran. Math. Software, 5, pp. 308-323.
Yu.Kolesov, Yu.Senichenkov. Test problems for Hybrid Simulators./In Recent Advances in Theoretical and Applied Mathematics. WSES 2000, ISBN: 960-8052-21-1,Greece, p. 214-220.
В.М.Глушков, В.В.Гусев, Т.П.Марьянович, М.А.Сахнюк. Программные средства моделирования непрерывно-дискретных систем. Киев: «Наукова думка», 1975. -240c.
I.T.Tojiboev, O.Kuldashev. Investigation of device for geophysical exploration at shallow depth. (2017), «EUREKA: Physics and Engineering» Number 2, -pp. 34-39.
S.M.Abdurakhmonov, I.T.Tojiboev, O.K.Kuldashov, B.K.Turgunov. The optoelectronic two-wave method for remote monitoring of the content of methane in atmosphere. Technical Physics Letters. 2019. 45(2), -pp. 132-133.
Downloads
Published
Issue
Section
License
Copyright (c) 2025 Scientific journal of the Fergana State University

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
Most read articles by the same author(s)
- shoxsanam Obidova, Askarov Ibrohimjon Rahmonovich, Khojimatov Maksadbek Muydinovich, Khojimatova Dilnoza Sultanmurodovna, METHODS FOR DETERMINING THE ACUTE POISONING AND CUMULATIVE PROPERTIES OF A NATURAL REMEDY “AS-SULTAN” , Scientific journal of the Fergana State University: No. 2 (2025): FarDU ilmiy xabarlari jurnali (Tabiiy fanlar)
- , THE DEGREE OF EXISTENCE OF GENDER STEREOTYPES IN THE PERSONALITY OF MODERN UZBEKS (NAMANGAN PROVINCE AS AN EXAMPLE) , Scientific journal of the Fergana State University: No. 6 (2024): Scientific journal of the Fergana State University (Social humanities sciences)