Toronto Math Forum
MAT2442019F => MAT244Lectures & Home Assignments => Chapter 9 => Topic started by: nadia.chigmaroff on December 18, 2019, 03:27:28 PM

Hi,
I'm confused as to exactly how we can determine the nature of a critical point in a nonlinear system if the eigenvalues of the corresponding linear system are real and repeated or purely imaginary. I understand that in this case the usual theorem (9.3.3) does not apply, but I do not know how to determine if the nonlinear terms affect the system significantly or not.
Thanks!