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What is Stable and Unstable Manifolds Explained about?
The document outlines concepts related to dynamical systems, focusing on stable, unstable, and centre manifolds. It discusses the definitions and properties of stable and unstable eigenspaces, the Hartman-Grobman theorem, and methods for drawing phase portraits. Additionally, it introduces the Stable Manifold Theorem, which describes the existence of differentiable manifolds tangent to stable and unstable subspaces near hyperbolic equilibria.
- Author
- miru park
- Language
- EN