Interpretation:
To show that frequency of small oscillations of amplitude
To show that formula for
Concept Introduction:
The system equation for linear oscillator is
Here,
This system is known as weakly nonlinear oscillator.
The polar transformation of Cartesian co-ordinates is
The averaged equations for
Where
The value of
The value of
The exact formula for time period is
The Taylor’s series expansion for
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Check out a sample textbook solutionChapter 7 Solutions
Nonlinear Dynamics and Chaos
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage