Zobrazeno 1 - 10
of 33
pro vyhledávání: '"Hernán Cendra"'
Publikováno v:
Digital.CSIC. Repositorio Institucional del CSIC
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Dirac structures and Morse families are used to obtain a geometric formalism that unifies most of the scenarios in mechanics (constrained calculus, nonholonomic systems, optimal control theory, higher-order mechanics, etc.), as the examples in the pa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::609f792fb5a219cfea45f98065404b1f
https://doi.org/10.3934/jgm.2019024
https://doi.org/10.3934/jgm.2019024
Publikováno v:
Qualitative Theory of Dynamical Systems. 19
In this paper we study a class of physical systems that combine a finite number of mechanical and thermodynamic observables. We call them elementary thermo-mechanical systems (ETMS). We introduce these systems by means of simple examples, and we obta
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2e47d0ba2ec4e50621ad431b78448c9d
https://doi.org/10.1007/s12346-020-00371-8
https://doi.org/10.1007/s12346-020-00371-8
Autor:
Hernán Cendra, Viviana Alejandra Díaz
Publikováno v:
Journal of Geometric Mechanics. 10:1-41
The aim of this paper is to write explicit expression in terms of a given principal connection of the Lagrange-d'Alembert-Poincare equations by several stages. This is obtained by using a reduced Lagrange-d'Alembert's Principle by several stages, ext
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6583ba6c0bcc8ed9ba99fd67481c2599
https://doi.org/10.3934/jgm.2018001
https://doi.org/10.3934/jgm.2018001
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
Publikováno v:
Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas. 106:225-234
Nonholonomic systems are described by the Lagrange-d’Alembert principle. The presence of symmetry leads to a reduced d’Alembert principle and to the Lagrange-d’Alembert-Poincare equations. First, we briefly recall from previous works how to obt
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3a84d738d4e846470ff79d1889438ce8
https://doi.org/10.1007/s13398-011-0053-3
https://doi.org/10.1007/s13398-011-0053-3
Publikováno v:
Journal of Geometric Mechanics. 2:321-342
A ball having two of its three moments of inertia equal and whose center of mass coincides with its geometric center is called a symmetric ball . The free dynamics of a symmetric ball rolling without sliding or spinning on a horizontal plate has been
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5e0dc9b891ae6337fcf1364ac8460ca2
https://doi.org/10.3934/jgm.2010.2.321
https://doi.org/10.3934/jgm.2010.2.321
Autor:
Viviana Alejandra Díaz, Hernán Cendra
Publikováno v:
Regular and Chaotic Dynamics. 12:56-67
Nonholonomic systems are described by the Lagrange-D'Alembert's principle. The presence of symmetry leads, upon the choice of an arbitrary principal connection, to a reduced D'Alembert's principle and to the Lagrange-D'Alembert-Poincaré reduced equa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bcc7fdc6124fd037f1df7b35396ce632
https://doi.org/10.1134/s1560354707010054
https://doi.org/10.1134/s1560354707010054
Autor:
Hernán Cendra, Sebastián J. Ferraro
Publikováno v:
Dynamical Systems. 21:409-437
Isoparallel problems are a class of optimal control problems on principal fibre bundles endowed with a connection and a Riemannian metric on the base space. These problems consist of finding the shortest curve on the base among those with a given par
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::654e9c6cadd9499b2191abdee07062f1
https://doi.org/10.1080/14689360600734112
https://doi.org/10.1080/14689360600734112
Publikováno v:
Reports on Mathematical Physics. 57:367-374
In this paper we perform a complete study of the dynamics of a symmetric sphere rolling on a horizontal plane without sliding or spinning. Integrals of motion that completely determine the behaviour of this systems in terms of elementary functions ar
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9155e16c49e640c1eac879d2009adab5
https://doi.org/10.1016/s0034-4877(06)80027-3
https://doi.org/10.1016/s0034-4877(06)80027-3
This booklet studies the geometry of the reduction of Lagrangian systems with symmetry in a way that allows the reduction process to be repeated; that is, it develops a context for Lagrangian reduction by stages}. The Lagrangian reduction procedure f