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arXiv · 2103.17017

The Hamilton--Jacobi theory for contact Hamiltonian systems

Manuel de León·Manuel Laínz·Álvaro Muñiz--Brea
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Abstract

The aim of this paper is to develop a Hamilton--Jacobi theory for contact Hamiltonian systems. We find several forms for a suitable Hamilton-Jacobi equation accordingly to the Hamiltonian and the evolution vector fields for a given Hamiltonian function. We also analyze the corresponding formulation on the symplectification of the contact Hamiltonian system, and establish the relations between these two approaches. In the last section, some examples are discussed.

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Manuel de León, Manuel Laínz, Álvaro Muñiz--Brea. 2021-03-31. The Hamilton--Jacobi theory for contact Hamiltonian systems. https://arxiv.org/abs/2103.17017

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