Symplectic Rotational Geometry in Human Biomechanics

DOI10.1137/S003614450341313XzbMath1063.92003MaRDI QIDQ4652259

Vladimir G. Ivancevic

Publication date: 25 February 2005

Published in: SIAM Review (Search for Journal in Brave)

zbMATH Keywords

symplectic geometryhuman biomechanicsrotational Lie groupsgeneralized Hamiltonian formalismaffine servo control

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Hamilton's equations (70H05) Applications of Lie groups to the sciences; explicit representations (22E70) Biomechanics (92C10) Differential geometric aspects in kinematics (53A17)

Related Items (6)

Crowd behavior dynamics: entropic path-integral model ⋮ Optimal a priori discretization error bounds for geodesic finite elements ⋮ Nonlinear complexity of human biodynamics engine ⋮ A conformal gauge theory of solids: insights into a class of electromechanical and magnetomechanical phenomena ⋮ Dissipative hydrodynamics in superspace ⋮ Ricci flow and nonlinear reaction-diffusion systems in biology, chemistry, and physics

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