singular points in 3-dim space

firenze

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.

HallsofIvy

Yes, that is correct.

firenze

Thanks