unstable-manifold
Unstable Manifold
Trit: 1 (PLUS) Domain: Dynamical Systems Theory Principle: Manifold of points diverging from equilibrium
Overview
Unstable Manifold is a fundamental concept in dynamical systems theory, providing tools for understanding the qualitative behavior of differential equations and flows on manifolds.
Mathematical Definition
UNSTABLE_MANIFOLD: Phase space × Time → Phase space
Key Properties
- Local behavior: Analysis near equilibria and invariant sets
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