250115 VO Dynamical Systems and Nonlinear Differential Equations (2024S)
Labels
VOR-ORT
An/Abmeldung
Hinweis: Ihr Anmeldezeitpunkt innerhalb der Frist hat keine Auswirkungen auf die Platzvergabe (kein "first come, first served").
Details
Sprache: Englisch
Lehrende
Termine (iCal) - nächster Termin ist mit N markiert
Freitag
01.03.
11:30 - 13:00
Hörsaal 8 Oskar-Morgenstern-Platz 1 1.Stock
Dienstag
05.03.
16:45 - 18:15
Seminarraum 8, Kolingasse 14-16, OG01
Freitag
15.03.
11:30 - 13:00
Seminarraum 15, Kolingasse 14-16, OG01
Dienstag
19.03.
16:45 - 18:15
Seminarraum 8, Kolingasse 14-16, OG01
Dienstag
09.04.
16:45 - 18:15
Seminarraum 8, Kolingasse 14-16, OG01
Freitag
12.04.
11:30 - 13:00
Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
Dienstag
16.04.
16:45 - 18:15
Seminarraum 8, Kolingasse 14-16, OG01
Dienstag
23.04.
16:45 - 18:15
Seminarraum 8, Kolingasse 14-16, OG01
Freitag
26.04.
11:30 - 13:00
Seminarraum 15, Kolingasse 14-16, OG01
Dienstag
30.04.
16:45 - 18:15
Seminarraum 8, Kolingasse 14-16, OG01
Dienstag
07.05.
16:45 - 18:15
Seminarraum 8, Kolingasse 14-16, OG01
Freitag
10.05.
11:30 - 13:00
Seminarraum 15, Kolingasse 14-16, OG01
Dienstag
14.05.
16:45 - 18:15
Seminarraum 8, Kolingasse 14-16, OG01
N
Dienstag
21.05.
16:45 - 18:15
Seminarraum 8, Kolingasse 14-16, OG01
Freitag
24.05.
11:30 - 13:00
Seminarraum 15, Kolingasse 14-16, OG01
Dienstag
28.05.
16:45 - 18:15
Seminarraum 8, Kolingasse 14-16, OG01
Dienstag
04.06.
16:45 - 18:15
Seminarraum 8, Kolingasse 14-16, OG01
Freitag
07.06.
11:30 - 13:00
Seminarraum 15, Kolingasse 14-16, OG01
Dienstag
11.06.
16:45 - 18:15
Seminarraum 8, Kolingasse 14-16, OG01
Dienstag
18.06.
16:45 - 18:15
Seminarraum 8, Kolingasse 14-16, OG01
Freitag
21.06.
11:30 - 13:00
Seminarraum 15, Kolingasse 14-16, OG01
Dienstag
25.06.
16:45 - 18:15
Seminarraum 8, Kolingasse 14-16, OG01
Information
Ziele, Inhalte und Methode der Lehrveranstaltung
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.
Art der Leistungskontrolle und erlaubte Hilfsmittel
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.)
Mindestanforderungen und Beurteilungsmaßstab
The exam will indicate the points assigned to each question. Roughly half of the points are required to get a positive grade.
Prüfungsstoff
The contents of the course (outlined above). (Further information will be provided during the course.)
Literatur
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)
Zuordnung im Vorlesungsverzeichnis
MANO; MBIO; MSTO
Letzte Änderung: Do 11.04.2024 14:26