Author Topic: Sensitive cases for nonlinear systems  (Read 5450 times)


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Sensitive cases for nonlinear systems
« on: December 18, 2019, 03:27:28 PM »

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.