Consider the system in R² given in polar coordinates by fr = r(1 — r²) 8 = 1. (a) Find all limit cycles and all equilibria. (b) Determine stability of all limit cycles and equilibria.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
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3. Consider the system in R² given in polar coordinates by
r = r(1 — r²)
0 = 1.
(a) Find all limit cycles and all equilibria.
(b) Determine stability of all limit cycles and equilibria.
Transcribed Image Text:3. Consider the system in R² given in polar coordinates by r = r(1 — r²) 0 = 1. (a) Find all limit cycles and all equilibria. (b) Determine stability of all limit cycles and equilibria.
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