### Author Topic: the stability characteristics of all periodic solutions  (Read 792 times)

#### anntara khan

• Jr. Member
• Posts: 6
• Karma: 0
##### the stability characteristics of all periodic solutions
« 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?

#### Victor Ivrii

• Elder Member
• Posts: 2563
• Karma: 0
##### Re: the stability characteristics of all periodic solutions
« Reply #1 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