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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Scale symmetry reduction applied to singular Lagrangians via De-Donder-Weyl formalism yields equivalent frictional dynamics for particles and fields, with applications to general relativity.
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.
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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.
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Gauge Symmetries, Contact Reduction, and Singular Field Theories
Scale symmetry reduction applied to singular Lagrangians via De-Donder-Weyl formalism yields equivalent frictional dynamics for particles and fields, with applications to general relativity.
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Constrained Symplectic and Contact Hamiltonian Systems: A Review
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.