A system has three closed trajectories C., C2, C3, all counterclockwise, with C2, C3 enclosed by C.. We also know that C₂ is not enclosed by (3 and vice versa. Show that there is at least one fixed point. enclosed by C,, but not enclosed by C₂ and C3.

A system has three closed trajectories C., C2, C3, all counterclockwise, with C2, C3 enclosed by C.. We also know that C₂ is not enclosed by (3 and vice versa. Show that there is at least one fixed point. enclosed by C,, but not enclosed by C₂ and C3.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.9: Properties Of Determinants

Problem 46E

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Question

Dynamic Systems

A
system
has three closed trajectories C.,
C2, C3, all counterclockwise, with C2, C3
enclosed by C.. We also know that C₂ is
not enclosed by (3 and vice versa.
Show that there is at least one fixed point.
enclosed by C,, but not enclosed by C₂
and C3.

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