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View Full Version : singular points in 3-dim space


firenze
Nov28-06, 02:49 PM
For a linearized system I have eigenvalues \lambda_1, \lambda_2 = a \pm bi \;(a>0) and \lambda_3 < 0 ,
then it should be an unstable spiral point. As t \to +\infty the trajectory will lie in the plane which is parallel with the plane spanned by eigenvectors v_1,v_2 corresponding to \lambda_1, \lambda_2.

Right? I am just not very sure.

HallsofIvy
Nov29-06, 07:07 AM
Yes, that is correct.

firenze
Nov29-06, 08:33 AM
Thanks:smile: