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Polynomial integrability of the Hamiltonian systems with homogeneous potential of degree −2

Polynomial integrability of the Hamiltonian systems with homogeneous potential of degree - 2
Authors: Llibre, Jaume; Mahdi, Adam; Valls, Clàudia;

Polynomial integrability of the Hamiltonian systems with homogeneous potential of degree −2

Abstract

Agraïments: The third author is partially supported by FCT through CAMGDS, Lisbon. We characterize the analytic integrability of Hamiltonian systems with Hamiltonian H = 1/ 2 2∑ i=1 p 2 i + V (q1, q2), having homogeneous potential V (q1, q2) of degree −2.

Country
Spain
Keywords

Hamilton's equations, Natural Hamiltonian systems with 2-degrees of freedom, Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics, homogeneous polynomial potential, natural Hamiltonian systems with 2-degrees of freedom, Homogeneous polynomial potential

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
6
Average
Average
Average
Green
hybrid