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Toronto Math Forum
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MAT244--2019F
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MAT244--Lectures & Home Assignments
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Chapter 9
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the stability characteristics of all periodic solutions
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Topic: the stability characteristics of all periodic solutions (Read 837 times)
anntara khan
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the stability characteristics of all periodic solutions
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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?
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Victor Ivrii
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Re: the stability characteristics of all periodic solutions
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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
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Toronto Math Forum
»
MAT244--2019F
»
MAT244--Lectures & Home Assignments
»
Chapter 9
»
the stability characteristics of all periodic solutions