Modeling and Simulation of Complex Systems

In this course will discuss a wider range of complex systems and their behavior. They discussed how mathematical tools and methods for their modeling and simulations on a PC. They discussed such systems as nonlinear systems generating deterministic chaos, the effect of "Self-organized criticality" causing the avalanche effect leading to eventual spontaneous rearrangement of the system. Students will become familiar with the so-called Thom's catastrophe theory and its occurrence in many biological, economic as well as technical systems. There will also be discussed on cellular automata and their behavior, complex networks apod.Velký emphasis will be placed on the practical side of things - the ability to apply most of the discussed methods to practical examples. The student should have after completing the course, a comprehensive knowledge of the above-mentioned areas, including the possibility jeich use. The course includes laboratory exercises in which students will practice how to program the selected algorithms and their application to solving practical problems.