The authors construct gauge-related nonconservative Hamiltonians on a doubled symplectic manifold and give an explicit recipe to embed any second-order ODE into this Hamiltonian framework.
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Hamiltonian treatment of non-conservative systems
The authors construct gauge-related nonconservative Hamiltonians on a doubled symplectic manifold and give an explicit recipe to embed any second-order ODE into this Hamiltonian framework.