Concept explainers
A software package that supports the construction of Poincaré maps is required for the problems in this section.
To show that the limit set of the Poincaré map given in (3) depends on the initial values, do the following:
a. Show that when
b. Show that when
c. Use the results of the parts (a) and (b) to show that when
for
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Check out a sample textbook solutionChapter 5 Solutions
Fundamentals of Differential Equations and Boundary Value Problems
- Calculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage