Zobrazeno 1 - 10
of 55
pro vyhledávání: '"Miguel C. Muñoz-Lecanda"'
Publikováno v:
Symmetry, Vol 15, Iss 1, p 181 (2023)
Geodesic vector fields and other distinguished vector fields on a Riemann manifold were used in the study of free motions on such a manifold, and we applied the geometric Hamilton–Jacobi theory for the search of geodesic vector fields from Hamilton
Externí odkaz:
https://doaj.org/article/28ac78ef13cb4c2fab2d54010b163aca
A geometric approach to Sundman transformation defined by basic functions for systems of second-order differential equations is developed and the necessity of a change of the tangent structure by means of the function defining the Sundman transformat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9ccc7f00e5077594be88c68ed3a4ecc1
https://hdl.handle.net/2117/388574
https://hdl.handle.net/2117/388574
In this paper, we combine two main topics in mechanics and optimal control theory: contact Hamiltonian systems and Pontryagin maximum principle. As an important result, among others, we develop a contact Pontryagin maximum principle that permits to d
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3652d18d37ed9d06d643479ec3daacc4
https://hdl.handle.net/10016/37383
https://hdl.handle.net/10016/37383
Publikováno v:
Zaguán. Repositorio Digital de la Universidad de Zaragoza
instname
instname
A geometric approach to Sundman infinitesimal time-reparametrisation is given and some of its applications are used to illustrate the general theory. Special emphasis is put on geodesic motions and systems described by mechanical type Lagrangians. Th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b8ea50772d38d1235d2a9e6187627fb4
https://arxiv.org/pdf/2202.09581.pdf
https://arxiv.org/pdf/2202.09581.pdf
A new geometric framework is developed to describe non-conservative classical field theories, which is based on multisymplectic and contact geometries. Assuming certain additional conditions and using the forms that define this multicontact structure
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::97651bd80a9abd7c4f07421a1545c8de
Publikováno v:
Lecture Notes in Computer Science ISBN: 9783030802080
GSI
Digital.CSIC. Repositorio Institucional del CSIC
instname
GSI
Digital.CSIC. Repositorio Institucional del CSIC
instname
In this paper we study vakonomic dynamics on contact systems with nonlinear constraints. In order to obtain the dynamics, we consider a space of admisible paths, which are the ones tangent to a given submanifold. Then, we find the critical points of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6219dfe29aa0081ee591dcd7e90426c8
http://hdl.handle.net/10261/252982
http://hdl.handle.net/10261/252982
Autor:
Miguel-C. Muñoz-Lecanda
Publikováno v:
Trends in Mathematics ISBN: 9783030847999
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::277e6e329488aaf730ac8ee9e8b355f1
https://doi.org/10.1007/978-3-030-84800-2_17
https://doi.org/10.1007/978-3-030-84800-2_17
Publikováno v:
Digital.CSIC. Repositorio Institucional del CSIC
instname
UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)
Digital.CSIC: Repositorio Institucional del CSIC
Consejo Superior de Investigaciones Científicas (CSIC)
instname
UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)
Digital.CSIC: Repositorio Institucional del CSIC
Consejo Superior de Investigaciones Científicas (CSIC)
We present a complete theory of higher-order autonomous contact mechanics, which allows us to describe higher-order dynamical systems with dissipation. The essential tools for the theory are the extended higher-order tangent bundles, ${\rm T}^kQ\time
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9efcd4492e4d484c739373f39fea73e7
http://hdl.handle.net/10261/245237
http://hdl.handle.net/10261/245237
Publikováno v:
UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)
Universitat Politècnica de Catalunya (UPC)
We develop a new geometric framework suitable for dealing with Hamiltonian field theories with dissipation. To this end we define the notions of $k$-contact structure and $k$-contact Hamiltonian system. This is a generalization of both the contact Ha
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9aa60d4aaee740bd0da9b30ec03d2965
http://hdl.handle.net/2117/343989
http://hdl.handle.net/2117/343989
Publikováno v:
UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)
Universitat Politècnica de Catalunya (UPC)
We provide new insights into the contact Hamiltonian and Lagrangian formulations of dissipative mechanical systems. In particular, we state a new form of the contact dynamical equations, and we review two recently presented Lagrangian formalisms, stu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::95f6f134be6e7ca8fe29edb1ac3d07f7
https://doi.org/10.1142/s0219887820500905
https://doi.org/10.1142/s0219887820500905