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Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section11.2: Ellipses

Problem 25E

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3

For the system in polar coordinates,
i = ur – r3
Ô = w + br?
change the system to Cartesian coordinates, linearize and show it goes through a Hopf
Bifurcation. Draw all qualitatively different phase portraits.

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