Han, Xiaoying
Attractors Under Discretisation
Part I. Dynamical Systems and Numerical Schemes
1. Lyapunov Stability and Dynamical Systems
Xiaoying Han, Peter Kloeden
2. One Step Numerical Schemes
Xiaoying Han, Peter Kloeden
Part II. Steady States Under Discretisation
3. Linear Systems
Xiaoying Han, Peter Kloeden
4. Lyapunov Functions
Xiaoying Han, Peter Kloeden
5. Dissipative Systems with Steady States
Xiaoying Han, Peter Kloeden
6. Saddle Points Under Discretisation
Xiaoying Han, Peter Kloeden
Part III. Autonomous Attractors Under Discretisation
7. Dissipative Systems with Attractors
Xiaoying Han, Peter Kloeden
8. Lyapunov Functions for Attractors
Xiaoying Han, Peter Kloeden
9. Discretisation of an Attractor: General Case
Xiaoying Han, Peter Kloeden
Part IV. Nonautonomous Limit Sets Under Discretisation
10. Dissipative Nonautonomous Systems
Xiaoying Han, Peter Kloeden
11. Discretisation of Nonautonomous Limit Sets
Xiaoying Han, Peter Kloeden
12. Variable Step Size Discretisation of Autonomous Attractors
Xiaoying Han, Peter Kloeden
13. Discretisation of a Uniform Pullback Attractor
Xiaoying Han, Peter Kloeden
Keywords: Mathematics, Numerical Analysis, Dynamical Systems and Ergodic Theory, Ordinary Differential Equations
- Author(s)
- Han, Xiaoying
- Kloeden, Peter
- Publisher
- Springer
- Publication year
- 2017
- Language
- en
- Edition
- 1
- Series
- SpringerBriefs in Mathematics
- Page amount
- 11 pages
- Category
- Natural Sciences
- Format
- Ebook
- eISBN (PDF)
- 9783319619347
- Printed ISBN
- 978-3-319-61933-0