Lecture Notes on Nonlinear Vibrations
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This edition of Professor Rand's Lecture Notes on Nonlinear Vibrations extends the previous version (http://ecommons.cornell.edu/handle/1813/79 ) 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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2012-05
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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
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previous version available at http://ecommons.cornell.edu/handle/1813/79
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book chapter