Geometric control and numerical aspects of nonholonomic systems / Monforte, Jorge Cortés

Public ISBD Titre : Geometric control and numerical aspects of nonholonomic systems Type de document : texte imprimé Auteurs : Monforte, Jorge Cortés Editeur : Springer-Verlag Année de publication : 2002 Collection : Lecture Notes in Mathematics, ISSN 0075-8434 num. 1793 Importance : xv - 219 p. ISBN/ISSN/EAN : 978-3-540-44154-0 Langues : Anglais (eng) Catégories : 49-XX Calculus of variations and optimal control; optimization :49S05 Variational principles of physics 70-XX Mechanics of particles and systems :70-02 Research exposition (monographs, survey articles) 70-XX Mechanics of particles and systems :70FXX Dynamics of a system of particles, including celestial mechanics:70F25 Nonholonomic systems 70-XX Mechanics of particles and systems :70GXX General models, approaches, and methods :70G45 Differential-geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) 70-XX Mechanics of particles and systems :70Q05 Control of mechanical systems 93-XX Systems theory; control :93BXX Controllability, observability, and system structure:93B29 Differential-geometric methods Mots-clés : nonholonomic systems  symmetries  poisson manifolds  symplectic structures  connections  lie group actions  codistributions  distributions  differential forms  tensor fields  riemannian metric  first-order lagrangians  action functionals  lagrange problem  variational principles of mechanics Index. décimale : LNM Geometric control and numerical aspects of nonholonomic systems [texte imprimé] / Monforte, Jorge Cortés . - Springer-Verlag, 2002 . - xv - 219 p.. - (Lecture Notes in Mathematics, ISSN 0075-8434; 1793) . ISBN : 978-3-540-44154-0 Langues : Anglais (eng) Catégories : 49-XX Calculus of variations and optimal control; optimization :49S05 Variational principles of physics 70-XX Mechanics of particles and systems :70-02 Research exposition (monographs, survey articles) 70-XX Mechanics of particles and systems :70FXX Dynamics of a system of particles, including celestial mechanics:70F25 Nonholonomic systems 70-XX Mechanics of particles and systems :70GXX General models, approaches, and methods :70G45 Differential-geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) 70-XX Mechanics of particles and systems :70Q05 Control of mechanical systems 93-XX Systems theory; control :93BXX Controllability, observability, and system structure:93B29 Differential-geometric methods Mots-clés : nonholonomic systems  symmetries  poisson manifolds  symplectic structures  connections  lie group actions  codistributions  distributions  differential forms  tensor fields  riemannian metric  first-order lagrangians  action functionals  lagrange problem  variational principles of mechanics Index. décimale : LNM

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Geometric mechanics / Oliva, Waldyr Muniz

Public ISBD Titre : Geometric mechanics Type de document : texte imprimé Auteurs : Oliva, Waldyr Muniz Editeur : Springer-Verlag Année de publication : 2002 Collection : Lecture Notes in Mathematics, ISSN 0075-8434 num. 1798 Importance : xi - 270 p. ISBN/ISSN/EAN : 978-3-540-44242-4 Langues : Anglais (eng) Catégories : 70-XX Mechanics of particles and systems :70-02 Research exposition (monographs, survey articles) 70-XX Mechanics of particles and systems :70GXX General models, approaches, and methods :70G45 Differential-geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) 70-XX Mechanics of particles and systems :70HXX Hamiltonian and Lagrangian mechanics Mots-clés : m?s transformations  pseudo-riemannian manifolds  relativity  vakonomic mechanics  nonholonomic constraints  differential geometry  geodesics  dynamical equations  levi-civita connection  covariant derivative  configuration spaces  geometric mechanics  riemannian manifolds  newtonian mechanics Index. décimale : LNM Geometric mechanics [texte imprimé] / Oliva, Waldyr Muniz . - Springer-Verlag, 2002 . - xi - 270 p. . - (Lecture Notes in Mathematics, ISSN 0075-8434; 1798) . ISBN : 978-3-540-44242-4 Langues : Anglais (eng) Catégories : 70-XX Mechanics of particles and systems :70-02 Research exposition (monographs, survey articles) 70-XX Mechanics of particles and systems :70GXX General models, approaches, and methods :70G45 Differential-geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) 70-XX Mechanics of particles and systems :70HXX Hamiltonian and Lagrangian mechanics Mots-clés : m?s transformations  pseudo-riemannian manifolds  relativity  vakonomic mechanics  nonholonomic constraints  differential geometry  geodesics  dynamical equations  levi-civita connection  covariant derivative  configuration spaces  geometric mechanics  riemannian manifolds  newtonian mechanics Index. décimale : LNM

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Manifolds, tensor analysis, and applications / Abraham, R.

Public ISBD Titre : Manifolds, tensor analysis, and applications Type de document : texte imprimé Auteurs : Abraham, R. ; Marsden, Jerrold E. ; Ratiu, Tudor S. Mention d'édition : 2nd ed. Editeur : New York, NY : Springer Année de publication : 1988 Collection : Applied Mathematical Sciences, ISSN 0066-5452 num. 75 Importance : vii - 654 p. ISBN/ISSN/EAN : 978-3-540-96790-3 Langues : Anglais (eng) Catégories : 37-XX Dynamical systems and ergodic theory :37-02 Research exposition (monographs, survey articles) 37-XX Dynamical systems and ergodic theory :37CXX Smooth dynamical systems: general theory 53-XX Differential geometry :53AXX Classical differential geometry:53A45 Vector and tensor analysis 58-XX Global analysis, analysis on manifolds :58AXX General theory of differentiable manifolds 70-XX Mechanics of particles and systems :70GXX General models, approaches, and methods :70G45 Differential-geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) Mots-clés : open mapping theorem  hahn-banach theorem  thermodynamics  electrodynamics  fluid mechanics  hamiltonian mechanics  ergodicity  frobenius theorem Index. décimale : 37C Monographie Manifolds, tensor analysis, and applications [texte imprimé] / Abraham, R. ; Marsden, Jerrold E. ; Ratiu, Tudor S.  . -  2nd ed. . - Springer, 1988 . - vii - 654 p.. - (Applied Mathematical Sciences, ISSN 0066-5452; 75) . ISBN : 978-3-540-96790-3 Langues : Anglais (eng) Catégories : 37-XX Dynamical systems and ergodic theory :37-02 Research exposition (monographs, survey articles) 37-XX Dynamical systems and ergodic theory :37CXX Smooth dynamical systems: general theory 53-XX Differential geometry :53AXX Classical differential geometry:53A45 Vector and tensor analysis 58-XX Global analysis, analysis on manifolds :58AXX General theory of differentiable manifolds 70-XX Mechanics of particles and systems :70GXX General models, approaches, and methods :70G45 Differential-geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) Mots-clés : open mapping theorem  hahn-banach theorem  thermodynamics  electrodynamics  fluid mechanics  hamiltonian mechanics  ergodicity  frobenius theorem Index. décimale : 37C Monographie

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Periodic Hamiltonian flows on four-dimensional manifolds / Yael Karshon

Public ISBD Titre : Periodic Hamiltonian flows on four-dimensional manifolds Type de document : texte imprimé Auteurs : Yael Karshon, Auteur Editeur : Providence, R.I. : American Mathematical Society Année de publication : 1999 Collection : Memoirs of the American Mathematical Society, ISSN 0065-9266 num. 672 Importance : 71 p. ISBN/ISSN/EAN : 978-0-8218-1181-8 Langues : Anglais (eng) Catégories : 37-XX Dynamical systems and ergodic theory :37NXX Applications:37N05 Dynamical systems in classical and celestial mechanics 70-XX Mechanics of particles and systems :70GXX General models, approaches, and methods :70G45 Differential-geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) 70-XX Mechanics of particles and systems :70HXX Hamiltonian and Lagrangian mechanics :70H12 Periodic and almost periodic solutions Mots-clés : classification of Hamiltonian circle actions  periodic Hamiltonian flow  compact 4-dimensional manifold  invariant symplectic form  Kähler manifold  Hamiltonian S(1)-space  isomorphic S(1)-spaces Index. décimale : Mem Periodic Hamiltonian flows on four-dimensional manifolds [texte imprimé] / Yael Karshon, Auteur . - American Mathematical Society, 1999 . - 71 p.. - (Memoirs of the American Mathematical Society, ISSN 0065-9266; 672) . ISBN : 978-0-8218-1181-8 Langues : Anglais (eng) Catégories : 37-XX Dynamical systems and ergodic theory :37NXX Applications:37N05 Dynamical systems in classical and celestial mechanics 70-XX Mechanics of particles and systems :70GXX General models, approaches, and methods :70G45 Differential-geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) 70-XX Mechanics of particles and systems :70HXX Hamiltonian and Lagrangian mechanics :70H12 Periodic and almost periodic solutions Mots-clés : classification of Hamiltonian circle actions  periodic Hamiltonian flow  compact 4-dimensional manifold  invariant symplectic form  Kähler manifold  Hamiltonian S(1)-space  isomorphic S(1)-spaces Index. décimale : Mem

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