Abstract
The study of the oscillations of a system in a neighbourhood of an equilibrium position or a periodic motion usually begins with linearization. The linearized system can be integrated. After this is done, the main properties of the oscillations in the original system can often be determined by using the theory of Poincaré-Birkhoff normal forms.
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© 2006 Springer
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Arnold, V.I., Kozlov, V.V., Neishtadt, A.I. (2006). Theory of Small Oscillations. In: Mathematical Aspects of Classical and Celestial Mechanics. Encyclopaedia of Mathematical Sciences, vol 3. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-48926-9_8
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DOI: https://doi.org/10.1007/978-3-540-48926-9_8
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-28246-4
Online ISBN: 978-3-540-48926-9
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