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.
Notes for math 599: contact geometry.Lecture Notes available at http://www-bcf
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Local Universal Splitting Integrators for Contact Hamiltonian Systems
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.