Pith. sign in

REVIEW

The Hamilton--Jacobi theory for contact Hamiltonian systems

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2103.17017 v2 pith:LSMG6X3T submitted 2021-03-31 math-ph math.MP

Manuel de León , Manuel Laínz , Álvaro Muñiz--Brea This is my paper · ORCID
classification math-phmath.MP
keywords hamiltoniancontacthamilton--jacobisystemstheoryaccordinglyanalyzeapproaches
verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments
read the original 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.

Discussion (0). Continue with ORCID to comment.

Pith tools