Contact Hamiltonian Mechanics
  In this work we introduce contact Hamiltonian mechanics, an extension of symplectic Hamiltonian mechanics, and show that it is a natural candidate for a geometric description of non-dissipative and dissipative systems. For this purpose we review in detail the major features of standard symplectic Hamiltonian dynamics and show that all of them can be generalized to the contact case. 
Alessandro Bravetti, Hans Cruz, Diego Tapias
math-ph math.MP math.SG physics.class-ph