• Corpus ID: 253265388

Hamilton-Jacobi theory and integrability for autonomous and non-autonomous contact systems

@inproceedings{Leon2022HamiltonJacobiTA,
  title={Hamilton-Jacobi theory and integrability for autonomous and non-autonomous contact systems},
  author={Manuel de Le'on and Manuel Lainz and Asier L'opez-Gord'on and Xavier Rivas},
  year={2022}
}
In this paper, we study the integrability of contact Hamiltonian systems, both time-dependent and independent. In order to do so, we construct a Hamilton–Jacobi theory for these systems following two approaches, obtaining two different Hamilton–Jacobi equations. Compared to conservative Hamiltonian systems, contact Hamiltonian systems depend of one additional parameter. The fact of obtaining two equations reflects whether we are looking for solutions depending on this additional parameter or not… 

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