Infopaket

Non-linear physics and synergetics

ОК 16

Обов’язкова дисципліна для ОП

Second

2018/2019

1 Semester

3

Know the basic methods of research of 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 dynamical 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.

Full-time form

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, the theory of stability of dynamical systems, quantum mechanics and classical mechanics. 3. Have the skills to search and process specialized literature, solve algebraic and differential equations, work with interactive and multimedia tools, interact with colleagues during training.

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.

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

Lectures, independent work.

Reports, modular control (colloquium), control of homework, test work.

Ukrainian