Q/ By using polar Coordinates show that the system below has a limit cycle and show the stability of + his limit cycle: X² = x + x(x² + y² -1) y* = −x + y (x² + y²-1) -x

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 64E
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Q/ By using polar Coordinates show that the system
below has a limit cycle and show the stability of
+ his limit cycle:
X² = x + x(x² + y² -1)
y* = −x + y (x² + y²-1)
-x
Transcribed Image Text:Q/ By using polar Coordinates show that the system below has a limit cycle and show the stability of + his limit cycle: X² = x + x(x² + y² -1) y* = −x + y (x² + y²-1) -x
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