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 |