The Hamilton–Jacobi Theory for Contact Hamiltonian Systems

Manuel de León, Manuel Lainz and Álvaro Muñiz-Brea
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Manuel de León: Instituto de Ciencias Matemáticas, Consejo Superior de Investigaciones Científicas, C/Nicolás Cabrera, 13-15, 28049 Madrid, Spain
Manuel Lainz: Instituto de Ciencias Matemáticas, Consejo Superior de Investigaciones Científicas, C/Nicolás Cabrera, 13-15, 28049 Madrid, Spain
Álvaro Muñiz-Brea: Instituto de Ciencias Matemáticas, Consejo Superior de Investigaciones Científicas, C/Nicolás Cabrera, 13-15, 28049 Madrid, Spain

Mathematics, 2021, vol. 9, issue 16, 1-24

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.

Keywords: contact Hamiltonian systems; Hamilton–Jacobi theory; contact evolution vector fields (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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