250115 VO Dynamical Systems and Nonlinear Differential Equations (2024S)
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Note: The time of your registration within the registration period has no effect on the allocation of places (no first come, first served).
Details
Language: English
Lecturers
Classes (iCal) - next class is marked with N
Friday
01.03.
11:30 - 13:00
Hörsaal 8 Oskar-Morgenstern-Platz 1 1.Stock
Tuesday
05.03.
16:45 - 18:15
Seminarraum 8, Kolingasse 14-16, OG01
Friday
15.03.
11:30 - 13:00
Seminarraum 15, Kolingasse 14-16, OG01
Tuesday
19.03.
16:45 - 18:15
Seminarraum 8, Kolingasse 14-16, OG01
Tuesday
09.04.
16:45 - 18:15
Seminarraum 8, Kolingasse 14-16, OG01
Friday
12.04.
11:30 - 13:00
Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday
16.04.
16:45 - 18:15
Seminarraum 8, Kolingasse 14-16, OG01
Tuesday
23.04.
16:45 - 18:15
Seminarraum 8, Kolingasse 14-16, OG01
Friday
26.04.
11:30 - 13:00
Seminarraum 15, Kolingasse 14-16, OG01
Tuesday
30.04.
16:45 - 18:15
Seminarraum 8, Kolingasse 14-16, OG01
N
Tuesday
07.05.
16:45 - 18:15
Seminarraum 8, Kolingasse 14-16, OG01
Friday
10.05.
11:30 - 13:00
Seminarraum 15, Kolingasse 14-16, OG01
Tuesday
14.05.
16:45 - 18:15
Seminarraum 8, Kolingasse 14-16, OG01
Tuesday
21.05.
16:45 - 18:15
Seminarraum 8, Kolingasse 14-16, OG01
Friday
24.05.
11:30 - 13:00
Seminarraum 15, Kolingasse 14-16, OG01
Tuesday
28.05.
16:45 - 18:15
Seminarraum 8, Kolingasse 14-16, OG01
Tuesday
04.06.
16:45 - 18:15
Seminarraum 8, Kolingasse 14-16, OG01
Friday
07.06.
11:30 - 13:00
Seminarraum 15, Kolingasse 14-16, OG01
Tuesday
11.06.
16:45 - 18:15
Seminarraum 8, Kolingasse 14-16, OG01
Tuesday
18.06.
16:45 - 18:15
Seminarraum 8, Kolingasse 14-16, OG01
Friday
21.06.
11:30 - 13:00
Seminarraum 15, Kolingasse 14-16, OG01
Tuesday
25.06.
16:45 - 18:15
Seminarraum 8, Kolingasse 14-16, OG01
Information
Aims, contents and method of the course
The aim of this lecture course is for the participants to obtain an understanding and a working knowledge of basic concepts and examples of Dynamical System and Nonlinear Differential Equations.This course introduces and discusses aspects of both continuous and discrete dynamical systems, plus illustrative examples from applications. Specific topics include: flows; stability of fixed points (linearisation, Lyapunov functions); planar systems; bifurcation theory; notions of topological dynamics, attractors, and chaos, horseshoes, Poincare maps; further topics.Prerequisites: Completion of a course on ordinary differential equations.
Assessment and permitted materials
Written examMinimum requirements and assessment criteria: sufficient understanding of the material discussed during the lectures
Prerequisites: Completion of a course on ordinary differential equations.As usual, the final exam requires participants to demonstrate an understanding of the underlying theory and the ability to apply the results presented in the lectures. (Further information will be provided during the course.)
Prerequisites: Completion of a course on ordinary differential equations.As usual, the final exam requires participants to demonstrate an understanding of the underlying theory and the ability to apply the results presented in the lectures. (Further information will be provided during the course.)
Minimum requirements and assessment criteria
The exam will indicate the points assigned to each question. Roughly half of the points are required to get a positive grade.
Examination topics
The contents of the course (outlined above). (Further information will be provided during the course.)
Reading list
Reading list: Textbooks related to this course include the following. (Further information will be provided during the course.)R J Brown: A Modern Introduction to Dynamical Systems, Oxford University Press 2018,
(https://global.oup.com/academic/product/a-modern-introduction-to-dynamical-systems-9780198743286)C Robinson: An Introduction to Dynamical Systems, 2nd ed, AMS 2012
(https://bookstore.ams.org/view?ProductCode=AMSTEXT/19)S Strogatz: Nonlinear dynamics and chaos, with applications to physics, biology and engineering,
CRC Press, 2015, ISBN-13: 978-0813349107 or ISBN-10: 0813349109G Teschl: Ordinary Differential Equations and Dynamical Systems, AMS Graduate Studies in Mathematics
(https://www.mat.univie.ac.at/~gerald/ftp/book-ode/ode.pdf)M Viana, J M Espinar: Differential Equations: A Dynamical Systems Approach to Theory and Practice,
AMS 2021 (https://bookstore.ams.org/view?ProductCode=GSM/212)
(https://global.oup.com/academic/product/a-modern-introduction-to-dynamical-systems-9780198743286)C Robinson: An Introduction to Dynamical Systems, 2nd ed, AMS 2012
(https://bookstore.ams.org/view?ProductCode=AMSTEXT/19)S Strogatz: Nonlinear dynamics and chaos, with applications to physics, biology and engineering,
CRC Press, 2015, ISBN-13: 978-0813349107 or ISBN-10: 0813349109G Teschl: Ordinary Differential Equations and Dynamical Systems, AMS Graduate Studies in Mathematics
(https://www.mat.univie.ac.at/~gerald/ftp/book-ode/ode.pdf)M Viana, J M Espinar: Differential Equations: A Dynamical Systems Approach to Theory and Practice,
AMS 2021 (https://bookstore.ams.org/view?ProductCode=GSM/212)
Association in the course directory
MANO; MBIO; MSTO
Last modified: Th 11.04.2024 14:26