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#stable_manifold_theorem

Stable manifold theorem

In mathematics, especially in the study of dynamical systems and differential equations, the stable manifold theorem is an important result about the structure of the set of orbits approaching a given hyperbolic fixed point. It roughly states that the existence of a local diffeomorphism near a fixed point implies the existence of a local stable center manifold containing that fixed point. This manifold has dimension equal to the number of eigenvalues of the Jacobian matrix of the fixed point that are less than 1.

Wed 29th

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Stable manifold theorem Stable manifold Complexity Hartman–Grobman theorem Center manifold Manifold Atiyah–Singer index theorem Kähler manifold Community matrix Conservative system
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