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Degenerate critical point

  1. Jan 23, 2009 #1
    How can you determine the stability of a critical point which is degenerate?
     
  2. jcsd
  3. Jan 24, 2009 #2
    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).
     
  4. Jan 25, 2009 #3
    So I should always grab Maple and stare at the ( immediate environment of the) equibrilium point?
     
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