Proves that the Lie algebra generated by strict and prolonged Hamiltonians is dense in the space of smooth contact Hamiltonians, yielding local universal splitting integrators realized via lifted symplectic and ODE methods.
Contact hamiltonian systems.Journal of Mathematical Physics, 60(10)
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A review presents the geometry of pre-symplectic and pre-contact manifolds and develops constraint algorithms for admissible phase space in Hamiltonian systems with degeneracies.