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pro vyhledávání: '"D. Martin de Diego"'
Akademický článek
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Publikováno v:
Digital.CSIC. Repositorio Institucional del CSIC
instname
Journal of geometry and physics
instname
Journal of geometry and physics
We deal with the construction of linear connections associated with second order ordinary differential equations with and without first order constraints. We use a novel method allowing glueing of submodule covariant derivatives to produce new, close
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::22135e530d8a41d7a0c5eaca92cf13a1
http://hdl.handle.net/10261/253771
http://hdl.handle.net/10261/253771
Publikováno v:
Digital.CSIC. Repositorio Institucional del CSIC
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UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)
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UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)
This paper introduces a novel geometric framework to define and study hybrid systems. We exploit the geometry and topology of the set of jump points, where the instantaneous change of dynamics takes place, in order to gain controllability for the sys
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b78d7618a5036ff44656abc8af8154b7
http://hdl.handle.net/10261/226348
http://hdl.handle.net/10261/226348
We discuss a new geometric construction of port-Hamiltonian systems. Using this framework, we revisit the notion of interconnection providing it with an intrinsic description. Special emphasis on theoretical and applied examples is given throughout t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cce7e77275073eaddc49582b05e472cb
We are able to derive the equations of motion for forced mechanical systems in a purely variational setting, both in the context of Lagrangian or Hamiltonian mechanics, by duplicating the variables of the system as introduced by Galley (2013 Phys. Re
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9fcdc72d96d6e5a2eb1d6d5a6f40e337
http://arxiv.org/abs/1712.09377
http://arxiv.org/abs/1712.09377
Akademický článek
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Akademický článek
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Publikováno v:
Journal of Geometric Mechanics. 1:1-34
In this paper, we derive a "Hamiltonian formalism" for a wide class of mechanical systems, that includes, as particular cases, classical Hamiltonian systems, nonholonomic systems, some classes of servomechanisms... This construction strongly relies o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c3179f8c3616316e0c828d39e424464f
https://doi.org/10.3934/jgm.2009.1.1
https://doi.org/10.3934/jgm.2009.1.1
Publikováno v:
Digital.CSIC. Repositorio Institucional del CSIC
instname
instname
27 pages.-- MSC classes: 70F25; 37J60; 70G45.
A k-symplectic framework for classical field theories subject to nonholonomic constraints is presented. If the constrained problem is regular one can construct a projection operator such that the sol
A k-symplectic framework for classical field theories subject to nonholonomic constraints is presented. If the constrained problem is regular one can construct a projection operator such that the sol
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bfe252a46d8c61457013e68fdc434749
https://doi.org/10.1142/s0219887808003077
https://doi.org/10.1142/s0219887808003077
Publikováno v:
Digital.CSIC. Repositorio Institucional del CSIC
instname
instname
[The full-text file of this paper is not available yet, but will soon be].
In this paper we develop the construction of geometric integrators for higher-order mechanics. These integrators are naturally symplectic and preserve momentum since they
In this paper we develop the construction of geometric integrators for higher-order mechanics. These integrators are naturally symplectic and preserve momentum since they
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::863869aca5b8839f07d399e2a42cdbf3
https://doi.org/10.1142/s0219887806001235
https://doi.org/10.1142/s0219887806001235