Course Catalog 2013-2014
Basic

Basic Pori International Postgraduate Open University

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Course Catalog 2013-2014

MAT-61506 Dynamical Systems and Chaos, 7 cr

Additional information

Suitable for postgraduate studies

Person responsible

Mikko Kaasalainen

Lessons

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


 


 


 
 32 h/week
 16 h/per


 
MAT-61506 2013-01  

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 

Instructions for students on how to achieve the learning outcomes

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   Yes    English  
Book   Perspectives of nonlinear dynamics (Cambridge)   Jackson         No    English  
Book   Regular and stochastic dynamics (Springer)   Lichtenberg and Lieberman         No    English  

Prerequisites

Course Mandatory/Advisable Description
MAT-60150 Differentiaaliyhtälöt Mandatory    

Prerequisite relations (Requires logging in to POP)



Correspondence of content

Course Corresponds course  Description 
MAT-61506 Dynamical Systems and Chaos, 7 cr MAT-35006 Dynamical Systems and Chaos, 6 cr  

More precise information per implementation

Implementation Description Methods of instruction Implementation
MAT-61506 2013-01 Introduction to nonlinear dynamical systems and chaotic dynamics        

Last modified24.02.2013