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Consider the system =y+az(1−b-r-y), j=-x+ay(1− z −y) 0

Consider the system =y+az(1−b-r-y), j=-x+ay(1− z −y) 0

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1. Consider the system j=-x+ay(1 – r? – y) - r=y+ax(1−b-r-y), 0<a ≤ 1,0 <b<1. Prove there is at least one limit cycle. Could there be multiple? If so, are the periods the same? Show for b=0 there is only one limit cycle.
Transcribed Image Text:1. Consider the system j=-x+ay(1 – r? – y) - r=y+ax(1−b-r-y), 0<a ≤ 1,0 <b<1. Prove there is at least one limit cycle. Could there be multiple? If so, are the periods the same? Show for b=0 there is only one limit cycle.
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