Non-linear physics and Synergetics
Course: Nuclear Power Engineering
Structural unit: Faculty of Physics
Title
Non-linear physics and Synergetics
Code
ОК16
Module type
Обов’язкова дисципліна для ОП
Educational cycle
Second
Year of study when the component is delivered
2023/2024
Semester/trimester when the component is delivered
1 Semester
Number of ECTS credits allocated
3
Learning outcomes
Know the basic methods of studying nonlinear dynamical systems.
Know the properties of self-oscillating systems and the conditions of existence and occurrence of autowaves in nonequilibrium systems.
Know the role of stochastic processes on the behavior of dynamic systems.
Be able to study the stability of dynamic systems.
Be able to apply modern research methods to solve practical problems in nonlinear physics.
Acquire skills of independent use and study of literature in nonlinear physics and synergetics.
Form of study
Full-time form
Prerequisites and co-requisites
1. Know the basic principles of statistical physics, thermodynamics, classical mechanics and physical kinetics.
2. Be able to solve problems in the theory of differential equations in ordinary and partial derivatives, stability theory of dynamical systems, quantum mechanics and classical mechanics.
3. Have the skills to search for and study specialized literature, solutions algebraic and differential equations, work with interactive and multimedia means, interaction with colleagues during training.
Course content
1. Mathematical aspects of nonlinear theory.
2. Static instabilities.
3. Stability of dynamic systems.
4. Self-oscillating processes.
5. Chaos in dynamic systems.
6. The concept of turbulence.
7. Structures in open systems.
8. Nonlinear wave processes.
9. Shock waves.
10. Autowave processes.
11. Elements of the theory of solitons.
12. Nonlinear models in KTP.
13. Classical problems of nonlinear science.
Recommended or required reading and other learning resources/tools
1. V.Y. Sugakov. Fundamentals of Synergetics (2001), Kyiv: Oberegy
2. Haken H. Synergetics, 1980
3. Zaslavskyi H.M., Sagdeev R.Z. An Introduction to Nonlinear Physics: From the Pendulum to Turbulence and Chaos, 1988
Planned learning activities and teaching methods
Lectures, independent work.
Assessment methods and criteria
Reports, modular control (colloquium), homework control, test work.
Language of instruction
Ukrainian
Lecturers
This discipline is taught by the following teachers
Departments
The following departments are involved in teaching the above discipline