### Author Topic: Sensitive cases for nonlinear systems  (Read 1275 times)

• Jr. Member
• Posts: 8
• Karma: 2
##### Sensitive cases for nonlinear systems
« 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!