dr +e (x - 1) +x = 0 dt dt?
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Question
3
![2. Show that van der Pol's equation
+e (a2 - 1)
da
+ a = 0
dt
dt2
is equivalent to a system in () where y = dx/dt. Here, the value of e indicates the
nonlinearity and the strength of the damping in the van der Pol's oscillator. Discuss
how the stability of the rest solution (r 0) of van der Pol's equation (equivalently,
the origin of the system) depends on the parameter e.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd677bd59-d83b-4750-814a-bb19e2ec6fd6%2F47d38d4a-b0d6-4069-9a18-2e83fa469c8d%2F5hqscms_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2. Show that van der Pol's equation
+e (a2 - 1)
da
+ a = 0
dt
dt2
is equivalent to a system in () where y = dx/dt. Here, the value of e indicates the
nonlinearity and the strength of the damping in the van der Pol's oscillator. Discuss
how the stability of the rest solution (r 0) of van der Pol's equation (equivalently,
the origin of the system) depends on the parameter e.
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