A geometric approach to a result of Benci and Giannoni for Hamiltonian systems with singular potentials.
Zhu Daxin (1991)
Manuscripta mathematica
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Zhu Daxin (1991)
Manuscripta mathematica
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Patricio L. Felmer (1990)
Manuscripta mathematica
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Takashi Ichinose, Tetsuo Tsuchida (1993)
Forum mathematicum
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Vieri Benci, Donato Fortunato (1987)
Manuscripta mathematica
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Maria Letizia Bertotti (1989)
Manuscripta mathematica
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Boris Khesin (1993)
Recherche Coopérative sur Programme n°25
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Klaus Thews (1980/81)
Manuscripta mathematica
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Antonio Ambrosetti, V. Coti Zelati (1989)
Mathematische Zeitschrift
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Fiorella Barone, Renato Grassini (2003)
Banach Center Publications
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Dirac's generalized Hamiltonian dynamics is given an accurate geometric formulation as an implicit differential equation and is compared with Tulczyjew's formulation of dynamics. From the comparison it follows that Dirac's equation-unlike Tulczyjew's-fails to give a complete picture of the real laws of classical and relativistic dynamics.
E. Zenhder (1975)
Publications mathématiques et informatique de Rennes
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B.A. Kupershmidt, George Wilson (1980/81)
Inventiones mathematicae
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Gary Chartrand, S. F. Kapoor (1974)
Colloquium Mathematicae
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Jens-P. Bode, Anika Fricke, Arnfried Kemnitz (2015)
Discussiones Mathematicae Graph Theory
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In 1980 Bondy [2] proved that a (k+s)-connected graph of order n ≥ 3 is traceable (s = −1) or Hamiltonian (s = 0) or Hamiltonian-connected (s = 1) if the degree sum of every set of k+1 pairwise nonadjacent vertices is at least ((k+1)(n+s−1)+1)/2. It is shown in [1] that one can allow exceptional (k+ 1)-sets violating this condition and still implying the considered Hamiltonian property. In this note we generalize this result for s = −1 and s = 0 and graphs that fulfill a certain connectivity...
Rodman, Leiba (2008)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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Henryk Żołądek (2011)
Banach Center Publications
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The first and the second Painlevé equations are explicitly Hamiltonian with time dependent Hamilton function. By a natural extension of the phase space one gets corresponding autonomous Hamiltonian systems in ℂ⁴. We prove that the latter systems do not have any additional algebraic first integral. In the proof equations in variations with respect to a parameter are used.
D. Z. Du, D. F. Hsu (1989)
Banach Center Publications
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Huang, Xuncheng, Tu, Guizhang (2006)
International Journal of Mathematics and Mathematical Sciences
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