The computation and analysis of invariant sets of infinite-dimensional systems / von Raphael Gerlach. Paderborn, 2021
Inhalt
Introduction
Embedding Theory
Inertial Manifolds
Embedding Finite-dimensional Sets into Rk
Delay Coordinate Embeddings
The Core Dynamical System (CDS)
Set-Oriented Numerics for Infinite-Dimensional Systems
The Choice of the Observation Map
Applications
A Four-Dimensional Model of Self-Sustained Flows
The Mackey-Glass Equation
The Kuramoto-Sivashinsky Equation
Plane Poiseuille Flow
Conclusion and Outlook
Bibliography