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Systems with regular dynamics

2022/2023
Учебный год
ENG
Обучение ведется на английском языке
6
Кредиты

Преподаватель

Course Syllabus

Abstract

The course is intended for masters of the second year of study. It is aimed at studying qualitative theory of systems with regular dynamics.
Learning Objectives

Learning Objectives

  • The aim of the course is to give introduction to classical and modern problems of the qualitative theory of systems with regular dynamics
Expected Learning Outcomes

Expected Learning Outcomes

  • owns the terminology and basic facts of the section
Course Contents

Course Contents

  • Topology of manifolds and vector fields on manifolds.
  • Local analysis
  • Morse-Smale Systems
  • Hyperbolic dynamics.
Assessment Elements

Assessment Elements

  • non-blocking Report
  • non-blocking In-class assignment
  • non-blocking Oral interview
Interim Assessment

Interim Assessment

  • 2022/2023 2nd module
    0.35 * Report + 0.5 * Oral interview + 0.15 * In-class assignment
Bibliography

Bibliography

Recommended Core Bibliography

  • • R. L. Devaney, An Introduction to Chaotic Dynamical Systems, Benjamin/Cum-. (2015). Retrieved from http://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=edsbas&AN=edsbas.20873EF4
  • Dynamical Systems on 2- and 3-Manifolds, XXVI, 295 p., Grines, V. Z., Medvedev, T. V., Pochinka, O. V., 2016
  • Grines V., Medvedev Timur, Pochinka O. Dynamical Systems on 2- and 3-Manifolds. Switzerland : Springer, 2016.
  • Katok, A. B., & Hasselblatt, B. (2002). Handbook of Dynamical Systems (Vol. 1st ed). Amsterdam: North Holland. Retrieved from http://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=edsebk&AN=207259
  • Геометрическая теория динамических систем : введение : вводные курсы, Палис, Ж., 1986

Recommended Additional Bibliography

  • Introduction to the Modern Theory of Dynamical Systems, With a supplement by Anatole Katok and Leonardo Mendoza, XVIII, 802 p., Katok, A., Hasselblatt, B., 1996