Master
2022/2023
Dynamics of endomorphism
Category 'Best Course for Broadening Horizons and Diversity of Knowledge and Skills'
Type:
Compulsory course (Mathematics)
Area of studies:
Mathematics
Delivered by:
Department of Fundamental Mathematics
When:
2 year, 1, 2 module
Mode of studies:
offline
Open to:
students of one campus
Instructors:
Evgeny Victorovich Zhuzhoma
Master’s programme:
Mathematics
Language:
English
ECTS credits:
6
Contact hours:
56
Course Syllabus
Abstract
The course deals with the basic concepts and methods of studying endomorphisms given on manifolds. This program sets the minimum requirements for the knowledge and skills of master's students studying in the direction of 01.04.01 Mathematics.
Learning Objectives
- The purpose of studying the discipline is to master the methods for studying the dynamics of endomorphisms of low-dimensional manifolds.
Expected Learning Outcomes
- Know examples of Anosov endomorphisms on multidimensional tori
- Know the definition of endomorphism
Bibliography
Recommended Core Bibliography
- Dynamical Systems : Stability, Symbolic Dynamics, and Chaos, 2nd ed., 504 p., Robinson, C., 1999
- Dynamical Systems on 2- and 3-Manifolds, XXVI, 295 p., Grines, V. Z., Medvedev, T. V., Pochinka, O. V., 2016
- 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
Recommended Additional Bibliography
- Differentiable Dynamical Systems : An Introduction to Structural Stability and Hyperbolicity, XI, 192 p., Wen, L., 2016
- Iteration of Rational Functions : Complex Analytic Dynamical Systems, XVI, 280 p., Beardon, A. F., 2000