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Canonical Transformation Theory and Generalizations

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Perturbation Methods in Non-Linear Systems

Part of the book series: Applied Mathematical Sciences ((AMS,volume 8))

Abstract

In this chapter we deal with the terminology and basic well known results, which are necessary to the development of the subsequent chapters. It is not the scope of this chapter to describe Hamiltonian Systems and their general properties. They are found in several books and monographs, among which we wish to mention the classics of Birkhoff (1927), Siegel (1956), Wintner (1947), Abraham (1966), Moser (1968). We avoid any and every sophistication in arriving at intrinsic representations and definitions of Hamiltonian systems on manifolds, not because they are not important, but because they are of no essential necessity in what has to follow.

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Authors and Affiliations

  1. University of Sao Paulo, Brazil

    Georgio Eugenio Oscare Giacaglia

  2. University of Texas at Austin, USA

    Georgio Eugenio Oscare Giacaglia

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  1. Georgio Eugenio Oscare Giacaglia
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Giacaglia, G.E.O. (1972). Canonical Transformation Theory and Generalizations. In: Perturbation Methods in Non-Linear Systems. Applied Mathematical Sciences, vol 8. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-6400-2_2

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  • DOI: https://doi.org/10.1007/978-1-4612-6400-2_2

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-387-90054-4

  • Online ISBN: 978-1-4612-6400-2

  • eBook Packages: Springer Book Archive

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