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Title: Lecture Notes on Nonlinear Vibrations
Authors: Rand, Richard H.
Keywords: phase plane
Duffing oscillator
van der Pol oscillator
forced Duffing Oscillator
forced van der Pol oscillator
Mathieu's Equation
Ince's Equation
two coupled conservative oscillators
two coupled limit-cycle oscillators
center manifolds
N coupled limit-cycle oscillators
continuum of coupled conservative oscillators
Melnikov's Method for predicting chaos
Differential-Delay Equations
Differential Equations with Fractional Derivatives
Issue Date: May-2012
Abstract: This edition of Professor Rand's Lecture Notes on Nonlinear Vibrations extends the previous version ( ) by including two new Chapters, respectively on Differential-Delay Equations, and on Differential Equations with Fractional Derivatives, as well as an Appendix to Chapter 6 including power series expansions for transition curves in Mathieu's equation.
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Related Version: previous version available at
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