Stability of Degenerate Critical Points: A Phase Plane Analysis

[dirk_mec1]

How can you determine the stability of a critical point which is degenerate?

 

[gammamcc]

Phase plane analysis. You could have periodic solutions. It helps to know if your problem is a perturbation of a linear system (Th. of ODE: Coddington, Levinson).

 

[dirk_mec1]

Phase plane analysis. You could have periodic solutions. It helps to know if your problem is a perturbation of a linear system (Th. of ODE: Coddington, Levinson).

So I should always grab Maple and stare at the ( immediate environment of the) equibrilium point?