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Journal Article
Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 04/2016, Volume 49, Issue 21, p. 215201
A measure of the writhing of a curve is introduced and is used to extend the Calugareanu. decomposition for closed curves, as well as the polar decomposition... 
ribbon | open curves | writhe | topology | HELICITY | ELASTIC ROD MODEL | PHYSICS, MULTIDISCIPLINARY | CYCLIC ROTATIONS | LINKING NUMBER | DNA | PHYSICS, MATHEMATICAL | TWIST | Biomechanics | Mechanics of the solides | Mathematical Physics | Mechanics | Mathematics | Engineering Sciences | Mechanics of the structures | Physics
Journal Article
2008, ISBN 9781848161962, 2 v.
Book
Composites science and technology, ISSN 0266-3538, 2009, Volume 69, Issue 3-4, pp. 301 - 329
Journal Article
2000, ISBN 0471157384, xxviii, 553
Book
Proceedings of the National Academy of Sciences - PNAS, ISSN 1091-6490, 2013, Volume 110, Issue 3, pp. 853 - 858
Journal Article
International journal for numerical methods in engineering, ISSN 0029-5981, 2012, Volume 89, Issue 9, pp. 1171 - 1202
Journal Article
2005, London Mathematical Society lecture note series, ISBN 0521539579, Volume 306, x, 402
The lectures in this 2005 book are intended to bring young researchers to the current frontier of knowledge in geometrical mechanics and dynamical systems... 
Differentiable dynamical systems | Mechanics, Analytic | Geometry, Differential
Book
Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 05/2015, Volume 48, Issue 20, pp. 1 - 32
In this paper we develop a geometric approach to higher order mechanics on graded bundles in both, the Lagrangian and Hamiltonian formalism, via the recently discovered weighted algebroids... 
Higher order Lagrangians | Tulczyjew triple | Graded bundle | Geometrical mechanics | graded bundle | higher order Lagrangians | AV-DIFFERENTIAL GEOMETRY | POISSON | PHYSICS, MULTIDISCIPLINARY | LIE ALGEBROIDS | MANIFOLDS | PHYSICS, MATHEMATICAL | geometrical mechanics | LAGRANGIAN MECHANICS | Euler-Lagrange equation | Mathematical analysis | Formalism | Invariants | Bundles
Journal Article