Jet spaces in modern Hamiltonian biomechanics

• Authors: Tijana Ivancevic , Bojan Jovanovic , Ratko Stankovic , Sasa Markovic
• Languages of publication: EN

Abstracts

EN

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]. This is the time-dependent generalization of an ‘ordinary’ autonomous human biomechanics, in which total mechanical + biochemical energy is not conserved. In our view, this time-dependent energetic approach is much more realistic than the autonomous one. 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

EN

human biomechanics; covariant force law; configuration manifold; jet manifolds; time-dependent Hamiltonian dynamics

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2010
• Volume: 8
• Issue: 6
• Pages: 873-882

Dates

published

1 - 12 - 2010

online

5 - 9 - 2010

Contributors

author

Tijana Ivancevic

• QLIWW IP Pty Ltd. & Citech Research IP Pty Ltd., Adelaide, Australia

author

Bojan Jovanovic

• Sports Academy, Belgrade, Serbia

author

Ratko Stankovic

• Faculty of Sport and Physical Education, University of Nis, Nis, Serbia

author

Sasa Markovic

• Faculty of Sport and Physical Education, University of Nis, Nis, Serbia

References

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Identifiers

DOI

10.2478/s11534-010-0024-x