MAT-61506 Dynamical Systems and Chaos, 7 cr
Additional information
Luennoidaan seuraavan kerran lv 2015-16
Suitable for postgraduate studies
Person responsible
Mikko Kaasalainen
Lessons
Implementation 1: MAT-61506 2015-01
| Study type | P1 | P2 | P3 | P4 | Summer |
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Requirements
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 (1-5) will be used on the course
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-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 |