Jet Spaces in Modern Hamiltonian Biomechanics
Biological Physics
2018-02-14 v1
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
Keywords
Cite
@article{arxiv.0911.4813,
title = {Jet Spaces in Modern Hamiltonian Biomechanics},
author = {Tijana T. Ivancevic and Bojan Jovanovic and Ratko Stankovic and Sasa Markovic},
journal= {arXiv preprint arXiv:0911.4813},
year = {2018}
}
Comments
16 pages, 3 figures