Abstract
Because linear equations are easy to solve and study, the theory of linear oscillations is the most highly developed area of mechanics. In many nonlinear problems, linearization produces a satisfactory approximate solution. Even when this is not the case, the study of the linear part of a problem is often a first step, to be followed by the study of the relation between motions in a nonlinear system and in its linear model.
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© 1989 Springer Science+Business Media New York
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Arnold, V.I. (1989). Oscillations. In: Mathematical Methods of Classical Mechanics. Graduate Texts in Mathematics, vol 60. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-2063-1_5
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DOI: https://doi.org/10.1007/978-1-4757-2063-1_5
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-3087-3
Online ISBN: 978-1-4757-2063-1
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