Course Catalog 2010-2011
Basic

Basic Pori International Postgraduate Open University

|Degrees|     |Study blocks|     |Courses|    

Course Catalog 2010-2011

MAT-35006 Dynamical Systems and Chaos, 6 cr

Person responsible

Mikko Kaasalainen

Lessons

Study type P1 P2 P3 P4 Summer Implementations Lecture times and places
Lectures

 

 

 
 32 h/per

 
MAT-35006 2010-01 Wednesday 10 - 12, TB220
Friday 12 - 14, TB220

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    
MAT-33500 Differentiaaliyhtälöt Mandatory    

Prerequisite relations (Requires logging in to POP)

Correspondence of content

There is no equivalence with any other courses

Additional information

Suitable for postgraduate studies

More precise information per implementation

Implementation Description Methods of instruction Implementation
MAT-35006 2010-01 Introduction to nonlinear dynamical systems and chaotic dynamics        

Last modified28.06.2010