Zobrazeno 1 - 10
of 29
pro vyhledávání: '"Pawel Urbanski"'
Publikováno v:
2022 21st International Conference on Micro and Nanotechnology for Power Generation and Energy Conversion Applications (PowerMEMS).
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::54f5956743383322cbe577241f7c6acf
https://doi.org/10.1109/powermems56853.2022.10007563
https://doi.org/10.1109/powermems56853.2022.10007563
Publikováno v:
2022 21st International Conference on Micro and Nanotechnology for Power Generation and Energy Conversion Applications (PowerMEMS).
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ca2d0c8776f7e2e16ce2441b652bf062
https://doi.org/10.1109/powermems56853.2022.10007561
https://doi.org/10.1109/powermems56853.2022.10007561
Publikováno v:
Journal of Geometric Mechanics. 6:503-526
The Lagrangian description of mechanical systems and the Legendre Transformation (considered as a passage from the Lagrangian to the Hamiltonian formulation of the dynamics) for point-like objects, for which the infinitesimal configuration space is T
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::37300ee3d48612e499d0171f0ef1ec8a
https://doi.org/10.3934/jgm.2014.6.503
https://doi.org/10.3934/jgm.2014.6.503
Autor:
Pawel Urbanski, Katarzyna Grabowska
The Routh reduction for Lagrangian systems with cyclic variable is presented as an example of a Lagrangian reduction. It appears that the Routhian, which is a generating object of reduced dynamics, is not a function any more but a section of a bundle
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3a2ae2666fe9a9d26b13aa289678b601
Publikováno v:
Journal of Geometry and Physics. 60:581-598
A theory of double affine and special double affine bundles, i.e. differential manifolds with two compatible (special) affine bundle structures, is developed as an affine counterpart of the theory of double vector bundles. The motivation and basic ex
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0f0d4eddcbc127b0d6c2fc25033bc05f
https://doi.org/10.1016/j.geomphys.2009.12.008
https://doi.org/10.1016/j.geomphys.2009.12.008
Publikováno v:
Journal of Geometry and Physics. 57:1984-1998
A general, consistent and complete framework for geometrical formulation of mechanical systems is proposed, based on certain structures on affine bundles (affgebroids) that generalize Lie algebras and Lie algebroids. This scheme covers and unifies va
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::82a24590b55e483cfbaf78a8bda6e72c
https://doi.org/10.1016/j.geomphys.2007.04.003
https://doi.org/10.1016/j.geomphys.2007.04.003
We review the concept of a graded bundle, which is a generalisation of a vector bundle, its linearisation, and a double structure of this kind. We then present applications of these structures in geometric mechanics including systems with higher orde
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e4d918301e867692c4cb655853ec0763
http://arxiv.org/abs/1510.00296
http://arxiv.org/abs/1510.00296
Publikováno v:
Acta Mathematica Sinica, English Series. 23:769-788
We study affine Jacobi structures on an affine bundle $\pi:A\to M$, i.e. Jacobi brackets that close on affine functions. We prove that there is a one-to-one correspondence between affine Jacobi structures on $A$ and Lie algebroid structures on the ve
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4161df5c4f3504adc4aca9655f7b0bb6
https://doi.org/10.1007/s10114-005-0716-0
https://doi.org/10.1007/s10114-005-0716-0
Publikováno v:
Journal of Geometry and Physics. 52:398-446
Based on ideas of W. M. Tulczyjew, a geometric framework for a frame-independent formulation of different problems in analytical mechanics is developed. In this approach affine bundles replace vector bundles of the standard description and functions
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c6f9f66cabb7155cff0ea98dbc10d295
https://doi.org/10.1016/j.geomphys.2004.04.004
https://doi.org/10.1016/j.geomphys.2004.04.004
Autor:
Pawel Urbanski, Janusz Grabowski
Publikováno v:
Open Mathematics, Vol 1, Iss 1, Pp 123-140 (2003)
We characterize Poisson and Jacobi structures by means of complete lifts of the corresponding tensors: the lifts have to be related to canonical structures by morphisms of corresponding vector bundles. Similar results hold for generalized Poisson and
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0bcc8e7e78ca13b7a5e965b8e7538a72
https://doaj.org/article/57ff6ef6ae4e4a9eadd91e9452410731
https://doaj.org/article/57ff6ef6ae4e4a9eadd91e9452410731