On the period-energy relation

Bates, Larry; Śniatycki, Jędrzej

doi:10.1090/S0002-9939-1992-1076573-0

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On the period-energy relation
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by Larry Bates and Jędrzej Śniatycki PDF

Proc. Amer. Math. Soc. 114 (1992), 877-878 Request permission

Abstract:

We give a new proof of the period-energy relation for Hamiltonian systems.

References

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J. Moser, Regularization of Kepler’s problem and the averaging method on a manifold, Comm. Pure Appl. Math. 23 (1970), 609–636. MR 269931, DOI 10.1002/cpa.3160230406
Alan Weinstein, Lagrangian submanifolds and Hamiltonian systems, Ann. of Math. (2) 98 (1973), 377–410. MR 331428, DOI 10.2307/1970911