Averaging Theory for Weakly Nonlinear Oscillators

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John
English
College Students
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Summary
Averaging theory for weakly nonlinear oscillators explores perturbations in harmonic oscillators, focusing on how amplitude and phase evolve over time. By averaging over fast oscillations, differential equations for slowly varying parameters are derived, leading to insights into systems like the van der Pol and Duffing equations, revealing their behavior and relationships to physical phenomena.
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