Helmholtz theorem for Hamiltonian systems on time scales

Frédéric Pierret

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arXiv · 1410.2076

Helmholtz theorem for Hamiltonian systems on time scales

Frédéric Pierret

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Abstract

We derive the Helmholtz theorem for Hamiltonian systems defined on time scales in the context of nonshifted calculus of variations which encompass the discrete and continuous case. Precisely, we give a theorem characterizing first order equation on time scales, admitting a Hamiltonian formulation which is defined with non-shifted calculus of variation. Moreover, in the affirmative case, we give the associated Hamiltonian.

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BibTeX RIS

Frédéric Pierret. 2014-10-08. Helmholtz theorem for Hamiltonian systems on time scales. https://arxiv.org/abs/1410.2076

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