The Stable, Center-Stable, Center, Center-Unstable, Unstable Manifolds

Al Kelley (1)

1 IAS - Institute for Advanced Study [Princeton]

Our purpose is to give a proof of the existence and smoothness of the invariant manifolds in the title for a system of ordinary differential equations defined in a neighborhood of a critical point, periodic orbit, or periodic surface.

Domaines: Mathématiques [math]

Al Kelley. The Stable, Center-Stable, Center, Center-Unstable, Unstable Manifolds. Journal of Differential Equations, 1966, ⟨10.1016/0022-0396(67)90016-2⟩. ⟨hal-01306971⟩