Attractors Under Discretisation

• Κύριοι συγγραφείς: Han, Xiaoying (Συγγραφέας), Kloeden, Peter (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Σειρά: SpringerBriefs in Mathematics,
• Θέματα: Mathematics.; Dynamics.; Ergodic theory.; Differential equations.; Numerical analysis.; Numerical Analysis.; Dynamical Systems and Ergodic Theory.; Ordinary Differential Equations.

This work focuses on the preservation of attractors and saddle points of ordinary differential equations under discretisation. In the 1980s, key results for autonomous ordinary differential equations were obtained – by Beyn for saddle points and by Kloeden & Lorenz for attractors. One-step numer...

Πίνακας περιεχομένων:

• Part I Dynamical systems and numerical schemes
• 1 Lyapunov stability and dynamical systems
• 2 One step numerical schemes
• Part II Steady states under discretization
• 3 Linear systems
• 4 Lyapunov functions
• 5 Dissipative systems with steady states
• 6 Saddle points under discretisation . Part III Autonomous attractors under discretization
• 7 Dissipative systems with attractors
• 8 Lyapunov functions for attractors
• 9 Discretisation of an attractor. Part IV Nonautonomous limit sets under discretization
• 10 Dissipative nonautonomous systems
• 11 Discretisation of nonautonomous limit sets
• 12 Variable step size
• 13 Discretisation of a uniform pullback attractor.- Notes
• References.