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Oscillations and waves

ОК 27

Обов’язкова дисципліна для ОП

First

2022/2023

5 Semester

4

The student should know free and forced linear oscillations systems; fluctuations of parametric systems; free and forced oscillations of nonlinear oscillators; quasi-harmonic, relaxation and stochastic self-oscillations; coupled oscillations; propagation and radiation of linear waves; interaction of waves of various types, including in open systems; parametric interaction of waves; solitons and shock waves; regular and stochastic autowaves. The student should be able to calculate the properties of free and forced oscillations in linear systems; calculate the properties of free and forced oscillations in parametric, nonlinear and self-oscillating systems; calculate the properties of waves in linear and non-linear media.

Full-time form

he educational discipline "Oscillations and Waves" is based on the cycle of disciplines "Mathematical Analysis", "Differential Equations", "Methods of Mathematical Physics", "General Physics", "Radio Engineering Circuits and Signals", "Radio Electronics", "Theoretical Mechanics". Prerequisites: the student must know: basic laws, equations and relationships of mechanics, molecular physics, electricity and magnetism; a graduate student must be able to: use the apparatus of higher mathematics (mathematical analysis, linear algebra, differential equations).

The study of the discipline "Oscillations and waves" allows us to understand the essence of such phenomena: free and forced oscillations of linear systems; fluctuations of parametric systems; free and forced oscillations of nonlinear oscillators; quasi-harmonic, relaxation and stochastic self-oscillations; propagation and radiation of linear waves; interaction of waves of various types, including in open systems; parametric interaction of waves; solitons and shock waves.

1. Ситенко О.Г., Мальнєв В.М. Основи теорії плазми. К., Наукова думка, 1994. 2. Кучерук І. М., Горбачук І. Т., Луцик П. П. Загальний курс фізики: Навчальний посібник у 3-х т, т.1. — К.: Техніка, 1999 3. Грінченко В. Т., . Вовк І. В., Маципура В. Т. Основи акустики: Навчальний посібник - К.: Наукова думка, 2007. — 640 с. 4. Левитський С.М. Основи радіоелектроніки. К.: ВЦП "Київський університет", 2007. 5. Анісімов І.О. Коливання і хвилі. Підручник. К.: ВЦП "Київський університет", 2009. 6. Анісімов І.О. Синергетика. Підручник. К.: ВЦП "Київський університет", 2014. 7. R. Z. Sagdeev, D. A. Usikov, and G. M. Zaslavskiy, Nonlinear Physics: From the Pendulum to Turbulence and Chaos, Harwood Academic Publishers, New York (1988).

Lectures, practical classes, independent work.

Semester assessment: the academic semester has three content modules. After completing their studies, colloquiums and written modular tests are held. Mandatory for admission to the exam is: obtaining at least 36 points of the semester rating. Final evaluation - in the form of an exam: the form of the exam is written and oral. The examination ticket consists of 4 questions, the questions are evaluated for 10 points. In total, you can for the exam get from 0 to 40 points. The condition for achieving a positive grade for the discipline is to obtain at least 60 points, the grade for the exam cannot be less than 24 points.

Ukrainian