Concept explainers
Interpretation:
For a time
Concept Introduction:
The system equation for the linear oscillator is
Here,
This system is known as a weakly nonlinear oscillator.
The expression of the amplitude of any limit cycle for the original system is
The expression of the frequency of any limit cycle for the original system is
Taylor series expansion of
Taylor’s series expansion
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Check out a sample textbook solutionChapter 7 Solutions
Nonlinear Dynamics and Chaos
- Calculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,