Course Catalog 2011-2012
Postgraduate

Basic Pori International Postgraduate Open University

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Course Catalog 2011-2012

MAT-35006 Dynamical Systems and Chaos, 6 cr

Additional information

Suitable for postgraduate studies

Person responsible

Mikko Kaasalainen

Requirements

Exam, problem classes/project work

Principles and baselines related to teaching and learning

Computational implementation alongside the mathematical analysis (computer exercises and program development)

Learning outcomes

Basic knowledge about nonlinear dynamical systems and typical examples of them; the causes and characteristics of chaotic behaviour in Hamiltonian and dissipative systems; fundamental theoretical and computational methods

Content

Content Core content Complementary knowledge Specialist knowledge
1. General properties of nonlinear anc chaotic systems, qualitative description and mathematical principles (3)  Mathematical analysis of Hamiltonian and dissipative chaotic systems  Applications in various fields (biology, circuits, mechanics, weather); discrete systems 

Evaluation criteria for the course

Exam 1/2, problem classes/project work 1/2

Assessment scale:

Numerical evaluation scale (1-5) will be used on the course

Study material

Type Name Author ISBN URL Edition, availability, ... Examination material Language
Book   Differential equations, dynamical systems and an introduction to chaos   Hirsch, Smale, Devaney   0-12-349703-5     The first part of the book (chapters 1-7/8) is covered in the course "differential equations" (mat-33500/6), the second part in this course      English  
Book   Perspectives of nonlinear dynamics (Cambridge)   Jackson            English  
Book   Regular and stochastic dynamics (Springer)   Lichtenberg and Lieberman            English  

Prerequisites

Course Mandatory/Advisable Description
MAT-31090 Matriisilaskenta 1 Mandatory    

Prerequisite relations (Requires logging in to POP)

Correspondence of content

There is no equivalence with any other courses

Last modified14.05.2012