Toronto Math Forum

MAT244--2019F => MAT244--Lectures & Home Assignments => Chapter 9 => Topic started by: anntara khan on December 15, 2019, 08:37:21 PM

Title: the stability characteristics of all periodic solutions
Post by: anntara khan on December 15, 2019, 08:37:21 PM
I am not sure how to analyze the stability around the limit circle. Is it dependent on the values of r or the value of r'(positive/negative)? And what does it really mean if it's Stable, Unstable or Semi-stable?
Title: Re: the stability characteristics of all periodic solutions
Post by: Victor Ivrii on December 16, 2019, 03:38:04 PM
Limit cycles (not circles) are not covered by final exam. In contrast to spiral point these cycles have two sides: external and internal. See picture