Toronto Math Forum
Welcome,
Guest
. Please
login
or
register
.
1 Hour
1 Day
1 Week
1 Month
Forever
Login with username, password and session length
News:
Home
Help
Search
Calendar
Login
Register
Toronto Math Forum
»
MAT244--2019F
»
MAT244--Lectures & Home Assignments
»
Chapter 9
»
the stability characteristics of all periodic solutions
« previous
next »
Print
Pages: [
1
]
Author
Topic: the stability characteristics of all periodic solutions (Read 879 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?
Logged
Victor Ivrii
Administrator
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
Logged
Print
Pages: [
1
]
« previous
next »
Toronto Math Forum
»
MAT244--2019F
»
MAT244--Lectures & Home Assignments
»
Chapter 9
»
the stability characteristics of all periodic solutions