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On the period-energy relation


Authors: Larry Bates and Jędrzej Śniatycki
Journal: Proc. Amer. Math. Soc. 114 (1992), 877-878
MSC: Primary 58F05; Secondary 70H05
DOI: https://doi.org/10.1090/S0002-9939-1992-1076573-0
MathSciNet review: 1076573
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Abstract: We give a new proof of the period-energy relation for Hamiltonian systems.


References [Enhancements On Off] (What's this?)

  • [1] W. Gordon, On the relation between period and energy in periodic dynamical systems, J. Math. Mech. 19 (1969), 111-114. MR 0245930 (39:7236)
  • [2] J. Moser, Regularization of Kepler's problem and the averaging method on a manifold, Comm. Pure Appl Math. 23 (1970), 609-636. MR 0269931 (42:4824)
  • [3] A. Weinstein, Lagrangian submanifolds and Hamiltonian systems, Ann. of Math. 98 (1973), 377-410. MR 0331428 (48:9761)

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DOI: https://doi.org/10.1090/S0002-9939-1992-1076573-0
Article copyright: © Copyright 1992 American Mathematical Society

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