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Course Catalog 1999/2000


Mathematics

MAM090 Dynamical Systems and Chaos 6.0 ECTS credits

TIMEPERIOD:


LANGUAGE:Swedish

EXAMINER
G Söderbacka Univ lekt


PREREQUISITES
Ground course and mathematical analysis and linear algebra.

COURSE AIM
To offer basic knowledge of analytical and numerical methods for analyzing the behaviour of dynamical systems frequently occuring in applications.

CONTENTS
Phase portraits for continuous systems. Graphical analysis of discrete systems. Stability and Lyapunov functions. Bifurcations. Main types of chaos and routes to chaos. Analysis of concrete systems from applications.

TEACHING


EXAMINATION
Written exam and laboratory work.

COURSE GRADE SCALE:

ITEMS/CREDITS
Computer Laborations 1.50ECTS
Written exam 4.50ECTS

COURSE LITERATURE
Arrowsmith D K, Placce C M. Dynamical systems: Differential equations and chaotic behaviour, Chapman Hall, last ed.

REMARKS


Valid for the academic year 1999/2000.

Web Editor: Karin.Lindholm@dc.luth.se


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LULEÅ UNIVERSITY OF TECHNOLOGY
University Campus, Porsön, 971 87 Luleå. Tel. +46 (0) 920-91 000, fax +46 (0) 920-91 399
Last edited 1999-12-15