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

A review on coisotropic reduction in symplectic, cosymplectic, contact and co-contact Hamiltonian systems

“…Coisotropic reduction has been extended to the field of contact manifolds (with the interest of being in a dissipative context) [15,57], but it has not been studied in sufficient detail in the case of cosymplectic manifolds nor in that of co-contact manifolds, the latter the natural settings to study time-dependent Hamiltonian contact systems [13,19].…”

Symmetries, Conservation and Dissipation in Time‐Dependent Contact Systems

“…[46] The Hamilton-Jacobi theory for non-autonomous contact systems has been recently done in. [47] Canonical and canonoid transformations [48] and Lie integrability [49] of (co)contact systems have also been studied.…”