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Singular points in 3-dim space

  1. Nov 28, 2006 #1
    For a linearized system I have eigenvalues [tex]\lambda_1, \lambda_2 = a \pm bi \;(a>0)[/tex] and [tex]\lambda_3 < 0 [/tex],
    then it should be an unstable spiral point. As [tex]t \to +\infty[/tex] the trajectory will lie in the plane which is parallel with the plane spanned by eigenvectors [tex]v_1,v_2[/tex] corresponding to [tex]\lambda_1, \lambda_2[/tex].

    Right? I am just not very sure.
     
  2. jcsd
  3. Nov 29, 2006 #2

    HallsofIvy

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    Yes, that is correct.
     
  4. Nov 29, 2006 #3
    Thanks:smile:
     
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