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