Displaying similar documents to “Differential equations with constraints in jet bundles: Lagrangian and Hamiltonian systems.”

On second order Hamiltonian systems

Dana Smetanová (2006)

Archivum Mathematicum

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The aim of the paper is to announce some recent results concerning Hamiltonian theory. The case of second order Euler–Lagrange form non-affine in the second derivatives is studied. Its related second order Hamiltonian systems and geometrical correspondence between solutions of Hamilton and Euler–Lagrange equations are found.