Abstract
The coordinate point of view will predominate in this chapter. The technique of generating functions for canonical transformations, developed by Hamilton and Jacobi, is the most powerful method available for integrating the differential equations of dynamics. In addition to this technique, the chapter contains an “odd-dimensional” approach to hamiltonian phase flows.
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© 1978 Springer Science+Business Media New York
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Arnold, V.I. (1978). Canonical formalism. In: Mathematical Methods of Classical Mechanics. Graduate Texts in Mathematics, vol 60. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-1693-1_9
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DOI: https://doi.org/10.1007/978-1-4757-1693-1_9
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4757-1695-5
Online ISBN: 978-1-4757-1693-1
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