Singular points in 3-dim space

[firenze]

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]

Yes, that is correct.

 

[firenze]

Thanks