Poisson Bracket on Measure Chains and Emerging Poisson Manifold

Ömer Akgüller


We derive the Poisson manifolds emerging from the Hamiltonian systems defined on measure chains in the context of symmetric calculus of variations which encompass the discrete and continuous case. Precisely, we give a theorem characterizing Hamiltonian vector fields on a manifold on measure chains.


Symmetric derivatives, Hamiltonian, Poisson Bracket, Measure Chains


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