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arXiv · 0911.4813

Jet Spaces in Modern Hamiltonian Biomechanics

Tijana T. Ivancevic·Bojan Jovanovic·Ratko Stankovic·Sasa Markovic
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Abstract

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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Tijana T. Ivancevic, Bojan Jovanovic, Ratko Stankovic, Sasa Markovic. 2009-11-25. Jet Spaces in Modern Hamiltonian Biomechanics. https://doi.org/10.2478/s11534-010-0024-x

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