TEBRANISH JARAYONLARINI MATEMATIK MODELLASHTIRISH VA ULARNING FIZIK TIZIMLARDAGI QO‘LLANILISHI
Keywords:
tebranish, matematik modellashtirish, tenglamalar, rezonans, energiya almashinuvi, dissipation, fizik jarayonlarAbstract
Ushbu maqola fizik jarayonlarning tebranish hodisalarini matematik modellashtirishga bag‘ishlangan Maqolada tebranish jarayonlarini tavsiflovchi matematik tenglamalar ularning yechim usullari va fizik parametrlar bilan bog‘liqligi tizimli ravishda yoritiladi Tadqiqotda oddiy va murakkab tebranish tizimlari ularning energiya almashinuvi rezonans hodisalari va dissipation jarayonlari ko‘rib chiqiladi Ushbu yondashuv ilmiy tadqiqotlarda va muhandislik amaliyotlarida tebranishlarni oldindan bashorat qilish va tahlil qilish imkonini beradi
References
1.Chizhonkov, E.V. Mathematical Aspects of Modelling Oscillations and Wake Waves in Plasma CRC Press, 2019.
2.Dassios, I., Bazighifan, O., Moaaz, O. (eds.) Differential/Difference Equations: Mathematical Modeling, Oscillation and Applications – MDPI Books, 2021.
3. Yang, Yisong. Mathematical Physics with Differential Equations – Oxford University Press, 2023.
4. Braga da Costa Campos, L.M. Linear Differential Equations and Oscillators – CRC Press, 2019.
5.Kovacic, I. Nonlinear Oscillations: Exact Solutions and their Approximations – Springer, 2020.
6. Eliseev, S.V., Eliseev, A.V. Theory of Oscillations: Structural Mathematical Modeling in Problems of Dynamics of Technical Objects – Springer, 2020.
7. Mathematical Modeling with Differential Equations in Physics, Chemistry, Biology, and Economics – MDPI Books, 2022.
8. Guckenheimer, J., Holmes, P. Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields – Springer, 1983.
9. Arnold, V.I. Ordinary Differential Equations – MIT Press, 1973.
10. Boas, M.L. Mathematical Methods in the Physical Sciences – Wiley, 1966.
