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Periodicity and Quasi-Periodicity for Super-Integrable Hamiltonian Systems

Maurice Robert Kibler·Pavel Winternitz
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Abstract

Classical trajectories are calculated for two Hamiltonian systems with ring shaped potentials. Both systems are super-integrable, but not maximally super-integrable, having four globally defined single valued integrals of motion each. All finite trajectories are quasi-periodical; they become truly periodical if a commensurability condition is imposed on an angular momentum component.

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Maurice Robert Kibler, Pavel Winternitz. 2004-05-04. Periodicity and Quasi-Periodicity for Super-Integrable Hamiltonian Systems. https://doi.org/10.1016/0375-9601(90)90549-4

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