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A system is said to be integrable if it has a regular or predictable behaviour. In nature, only a few examples are known (among them is the famous Kepler problem) but they are practically very important. Furthermore, numerous systems, although not integrable, are “close” to integrable systems. A good understanding of integrable systems is then a preliminary condition to the study of this latter category.

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Correspondence to Claude Gignoux .

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Gignoux, C., Silvestre-Brac, B. (2009). Integrable Systems. In: Solved Problems in Lagrangian and Hamiltonian Mechanics. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-2393-3_6

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