stable fixed point

Let X be a vector field on a manifold M. A fixed pointMathworldPlanetmath of X is said to be stable if it is both attracting ( and Lyapunov stablePlanetmathPlanetmath.

Title stable fixed point
Canonical name StableFixedPoint
Date of creation 2013-03-22 13:06:32
Last modified on 2013-03-22 13:06:32
Owner rspuzio (6075)
Last modified by rspuzio (6075)
Numerical id 8
Author rspuzio (6075)
Entry type Definition
Classification msc 34D20
Synonym asymptotically stable fixed point
Related topic AttractingFixedPoint
Related topic LiapunovStable
Related topic NeutrallyStableFixedPoint
Related topic UnstableFixedPoint