MAT-61506 Dynamical Systems and Chaos, 7 cr

Additional information

Suitable for postgraduate studies. The implementation will not be executed during the academic year 2016-2017.

Person responsible

Mikko Kaasalainen

Lessons

Implementation Period Person responsible Requirements
MAT-61506 2016-01 - Mikko Kaasalainen
Exam, problem classes/project work

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 (0-5)

Study material

Type Name Author ISBN URL Additional information Examination material
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   
Book   Perspectives of nonlinear dynamics (Cambridge)   Jackson         No   
Book   Regular and stochastic dynamics (Springer)   Lichtenberg and Lieberman         No   

Prerequisites

Course Mandatory/Advisable Description
MAT-60150 Differentiaaliyhtälöt Mandatory    
MAT-60156 Differential Equations Mandatory    



Correspondence of content

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

Updated by: Kaasalainen Mikko, 14.02.2017