Abstract
In nature we often encounter systems that differ from integrable ones by small perturbations. For example, the problem of the motion of the planets around the Sun can be regarded as a perturbation of the integrable problem of the motion of non-interacting points around a fixed attracting centre. Methods developed for studying such problems are united under the general name perturbation theory. These methods are usually simple and effective.
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© 2006 Springer
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Arnold, V.I., Kozlov, V.V., Neishtadt, A.I. (2006). Perturbation Theory for Integrable Systems. 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_6
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DOI: https://doi.org/10.1007/978-3-540-48926-9_6
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-28246-4
Online ISBN: 978-3-540-48926-9
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