Jet Spaces in Modern Hamiltonian Biomechanics

Details Jet Spaces in Modern Hamiltonian Biomechanics Jet Spaces in Modern Hamiltonian Biomechanics

2009-11-25

arxiv.org/abs/0911.4813v1

Physics

Biological Physics

16 pages, 3 figures

Scientific paper

In this paper we propose the time-dependent Hamiltonian form of human biomechanics, as a sequel to our previous work in time-dependent Lagrangian biomechanics [1]. Starting with the Covariant Force Law, we first develop autonomous Hamiltonian biomechanics. Then we extend it using a powerful geometrical machinery consisting of fibre bundles and jet manifolds associated to the biomechanical configuration manifold. We derive time-dependent, dissipative, Hamiltonian equations and the fitness evolution equation for the general time-dependent human biomechanical system. Keywords: Human biomechanics, covariant force law, configuration manifold, jet manifolds, time-dependent Hamiltonian dynamics

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