Hamiltonian dynamics and constrained variational calculus: continuous and discrete settings

Details Hamiltonian dynamics and constrained variational calculus: continuous and discrete settings Hamiltonian dynamics and constrained variational calculus: continuous and discrete settings

2011-08-29

arxiv.org/abs/1108.5570v2

Physics

Mathematical Physics

33 pages

Scientific paper

The aim of this paper is to study the relationship between Hamiltonian dynamics and constrained variational calculus. We describe both using the notion of Lagrangian submanifolds of convenient symplectic manifolds and using the so-called Tulczyjew's triples. The results are also extended to the case of discrete dynamics and nonholonomic mechanics. Interesting applications to geometrical integration of Hamiltonian systems are obtained.

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