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arXiv · 1505.02918

Variational principle for contact Tonelli Hamiltonian systems

Lin Wang·Jun Yan
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Abstract

We establish an implicit variational principle for the equations of the contact flow generated by the Hamiltonian $H(x,u,p)$ with respect to the contact 1-form $α=du-pdx$ under Tonelli and Osgood growth assumptions. It is the first step to generalize Mather's global variational method from the Hamiltonian dynamics to the contact Hamiltonian dynamics.

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Lin Wang, Jun Yan. 2015-05-12. Variational principle for contact Tonelli Hamiltonian systems. https://arxiv.org/abs/1505.02918

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