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

Avainsanat: Mathematics, Numerical Analysis, Dynamical Systems and Ergodic Theory, Ordinary Differential Equations