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Nondegeneracy in the Perturbation Theory of Integrable Dynamical Systems

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Stochastics, Algebra and Analysis in Classical and Quantum Dynamics

Part of the book series: Mathematics and Its Applications ((MAIA,volume 59))

Abstract

The most general nondegeneracy condition for the existence of invariant tori in nearly integrable and analytic Hamiltonian systems is formulated.

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© 1990 Kluwer Academic Publishers

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Rüssmann, H. (1990). Nondegeneracy in the Perturbation Theory of Integrable Dynamical Systems. In: Albeverio, S., Blanchard, P., Testard, D. (eds) Stochastics, Algebra and Analysis in Classical and Quantum Dynamics. Mathematics and Its Applications, vol 59. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-7976-8_12

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  • DOI: https://doi.org/10.1007/978-94-011-7976-8_12

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-011-7978-2

  • Online ISBN: 978-94-011-7976-8

  • eBook Packages: Springer Book Archive

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