A Hamiltonian approach to the discrete-continuous dynamical systems in diamond-type crystals.
Albu, I. D., Opriş, D. (1999)
Novi Sad Journal of Mathematics
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Displaying similar documents to “On second order Hamiltonian systems”
A Hamiltonian approach to the discrete-continuous dynamical systems in diamond-type crystals.
The hamiltonian formalism in higher order variational problems
Mauro Francaviglia, Demeter Krupka (1982)
Annales de l'I.H.P. Physique théorique
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Hamiltonian approaches of field theory.
Udrişte, Constantin, Teleman, Ana-Maria (2004)
International Journal of Mathematics and Mathematical Sciences
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A general background of higher order geometry and induced objects on subspaces.
Popescu, Marcela, Popescu, Paul (2002)
Balkan Journal of Geometry and its Applications (BJGA)
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Gauge-independent Hamiltonian reduction of constrained systems.
Muslih, S.I. (2002)
Journal of Applied Mathematics
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A Lie connection between Hamiltonian and Lagrangian optics.
Dragt, Alex J. (1997)
Discrete Mathematics and Theoretical Computer Science. DMTCS [electronic only]
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Noether (and Gauge) transformations for higher order singular lagrangians.
Xavier Gràcia, Josep M. Pons (1996)
Extracta Mathematicae
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Differential equations with constraints in jet bundles: Lagrangian and Hamiltonian systems.
Krupková, O., Volný, P. (2006)
Lobachevskii Journal of Mathematics
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On Hamiltonian submanifolds.
Popescu, Paul, Popescu, Marcela (2002)
Balkan Journal of Geometry and its Applications (BJGA)
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A simple proof of the non-integrability of the first and the second Painlevé equations
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.