# stable fixed point

Let $X$ be a vector field on a manifold $M$. A fixed point of $X$ is said to be stable if it is both attracting (http://planetmath.org/AttractingFixedPoint) and Lyapunov stable.

Title stable fixed point StableFixedPoint 2013-03-22 13:06:32 2013-03-22 13:06:32 rspuzio (6075) rspuzio (6075) 8 rspuzio (6075) Definition msc 34D20 asymptotically stable fixed point AttractingFixedPoint LiapunovStable NeutrallyStableFixedPoint UnstableFixedPoint