1988, 2nd ed., ISBN 9780387967905, Volume 75., 654

Book

1999, 2nd ed., Texts in applied mathematics, ISBN 9780387986432, Volume 17, XVIII, 586

Symmetry has always played an important role in mechanics, from fundamental formulations of basic principles to concrete applications. The theme of the book is...

Symmetry (Physics) | Mechanics, Analytic | Topological Groups | Mathematics | Topological Groups, Lie Groups | Theoretical, Mathematical and Computational Physics | Manifolds and Cell Complexes (incl. Diff.Topology) | Cell aggregation

Symmetry (Physics) | Mechanics, Analytic | Topological Groups | Mathematics | Topological Groups, Lie Groups | Theoretical, Mathematical and Computational Physics | Manifolds and Cell Complexes (incl. Diff.Topology) | Cell aggregation

eBook

1994, Texts in applied mathematics, ISBN 9780387972756, Volume 17, xiv, 500

Book

1990, Memoirs of the American Mathematical Society, ISBN 0821824988, Volume no. 436 (Nov. 1990), iv, 110

Book

2001, Memoirs of the American Mathematical Society, ISBN 9780821827154, Volume no. 722., ix, 108

Book

2004, Progress in mathematics, ISBN 9780817643072, Volume 222, xxxiv, 497

Book

2005, London Mathematical Society lecture note series, ISBN 0521539579, Volume 306, x, 402

The lectures in this 2005 book are intended to bring young researchers to the current frontier of knowledge in geometrical mechanics and dynamical systems....

Differentiable dynamical systems | Mechanics, Analytic | Geometry, Differential

Differentiable dynamical systems | Mechanics, Analytic | Geometry, Differential

Book

American Journal of Mathematics, ISSN 0002-9327, 10/2009, Volume 131, Issue 5, pp. 1261 - 1310

Every action on a Poisson manifold by Poisson diffeomorphisms lifts to a Hamiltonian action on its symplectic groupoid which has a canonically defined momentum...

Mathematical manifolds | Geometry | Morphisms | Mathematical theorems | Algebra | Vector fields | Lie groups | Cotangent function | Automorphisms | Rațiu, Tudor S | Poisson manifolds | MATHEMATICS | BRACKETS | SYMPLECTIC GROUPOIDS | INTEGRABILITY | REDUCTION | CONVEXITY | SPACES | LIE ALGEBROIDS | Evaluation | Manifolds (Mathematics) | Mathematical research | Mappings (Mathematics) | Mathematical problems | Mathematical functions | Maps | Topological manifolds | Poisson distribution

Mathematical manifolds | Geometry | Morphisms | Mathematical theorems | Algebra | Vector fields | Lie groups | Cotangent function | Automorphisms | Rațiu, Tudor S | Poisson manifolds | MATHEMATICS | BRACKETS | SYMPLECTIC GROUPOIDS | INTEGRABILITY | REDUCTION | CONVEXITY | SPACES | LIE ALGEBROIDS | Evaluation | Manifolds (Mathematics) | Mathematical research | Mappings (Mathematics) | Mathematical problems | Mathematical functions | Maps | Topological manifolds | Poisson distribution

Journal Article

1986, Séminaire de mathématiques supérieures, ISBN 2760607712, Volume 100, 208

Book

1999, 2nd ed., Texts in applied mathematics, ISBN 9780387986432, Volume 17., xi 582

Symmetry has always played an important role in mechanics, from fundamental formulations of basic principles to concrete applications. The theme of the book is...

Symmetry (Physics) | Mechanics, Analytic | Cell aggregation_xMathematics

Symmetry (Physics) | Mechanics, Analytic | Cell aggregation_xMathematics

Book

Annals of Global Analysis and Geometry, ISSN 0232-704X, 5/2007, Volume 31, Issue 3, pp. 287 - 328

This paper presents the theory of non-smooth Lie group actions on chains of Banach manifolds. The rigorous functional analytic spaces are given to deal with...

Euler equation | 58D05 | Slices | Mathematical and Computational Physics | 58B25 | Mathematics | 53D25 | Banach manifold | 58D19 | Geometry | Reduction | 53D1 | Statistics for Business/Economics/Mathematical Finance/Insurance | Analysis | 35Q35 | Lie group action | 58B20 | Group Theory and Generalizations | MATHEMATICS | slices | reduction | Studies | Mathematical models

Euler equation | 58D05 | Slices | Mathematical and Computational Physics | 58B25 | Mathematics | 53D25 | Banach manifold | 58D19 | Geometry | Reduction | 53D1 | Statistics for Business/Economics/Mathematical Finance/Insurance | Analysis | 35Q35 | Lie group action | 58B20 | Group Theory and Generalizations | MATHEMATICS | slices | reduction | Studies | Mathematical models

Journal Article

2007, Lecture notes in mathematics, ISBN 9783540724698, Volume 1913, xv, 519

Book

2015, 2015, Fields Institute Communications, ISBN 9781493924400, Volume 73, 506

This book illustrates the broad range of Jerry Marsden's mathematical legacy in areas of geometry, mechanics, and dynamics, from very pure mathematics to very...

Geometry | Mechanics | Marsden, Jerrold E | Mechanics, Analytic | Dynamics | Mathematics | Math Applications in Computer Science | Dynamical Systems and Ergodic Theory | Differential Geometry | Mathematical Applications in Computer Science | Geometry, Algebraic

Geometry | Mechanics | Marsden, Jerrold E | Mechanics, Analytic | Dynamics | Mathematics | Math Applications in Computer Science | Dynamical Systems and Ergodic Theory | Differential Geometry | Mathematical Applications in Computer Science | Geometry, Algebraic

eBook

Journal of Dynamics and Differential Equations, ISSN 1040-7294, 3/2017, Volume 29, Issue 1, pp. 343 - 343

To access, purchase, authenticate, or subscribe to the full-text of this article, please visit this link: http://dx.doi.org/10.1007/s10884-016-9540-8

Mathematics | Ordinary Differential Equations | Applications of Mathematics | Partial Differential Equations

Mathematics | Ordinary Differential Equations | Applications of Mathematics | Partial Differential Equations

Journal Article

Communications in Mathematical Physics, ISSN 0010-3616, 1/2018, Volume 357, Issue 2, pp. 873 - 912

We derive stochastic differential equations whose solutions follow the flow of a stochastic nonlinear Lie algebra operation on a configuration manifold. For...

Quantum Physics | Mathematical Physics | Classical and Quantum Gravitation, Relativity Theory | Theoretical, Mathematical and Computational Physics | Complex Systems | Physics | PHYSICS, MATHEMATICAL | SYSTEMS | MOTION | Algebra | Differential equations | Resveratrol

Quantum Physics | Mathematical Physics | Classical and Quantum Gravitation, Relativity Theory | Theoretical, Mathematical and Computational Physics | Complex Systems | Physics | PHYSICS, MATHEMATICAL | SYSTEMS | MOTION | Algebra | Differential equations | Resveratrol

Journal Article

L'Enseignement Mathématique, ISSN 0013-8584, 2012, Volume 58, p. 205

Journal Article

Journal of Dynamics and Differential Equations, ISSN 1040-7294, 03/2017, Volume 29, Issue 1, p. 343

Journal Article

Mathematische Annalen, ISSN 0025-5831, 4/2017, Volume 367, Issue 3, pp. 1217 - 1258

We give a generalization of toric symplectic geometry to Poisson manifolds which are symplectic away from a collection of hypersurfaces forming a normal...

Mathematics, general | Mathematics | MATHEMATICS | VARIETIES | HAMILTONIANS | AMEBAS | CONVEXITY | GEOMETRY | Contact lenses

Mathematics, general | Mathematics | MATHEMATICS | VARIETIES | HAMILTONIANS | AMEBAS | CONVEXITY | GEOMETRY | Contact lenses

Journal Article

Journal of the European Mathematical Society, ISSN 1435-9855, 2015, Volume 17, Issue 2, pp. 273 - 319

We study stochastically perturbed non-holonomic systems from a geometric point of view. In this setting, it turns out that the probabilistic properties of the...

Brownian motion | Snakeboard | Reduction | Two-wheeled carriage | Measure | Diffusion | Chaplygin system | Non-holonomic system | Generator | Symmetry | MATHEMATICS, APPLIED | diffusion | snakeboard | generator | CHAPLYGIN SYSTEMS | MATHEMATICS | measure | symmetry | reduction | two-wheeled carriage

Brownian motion | Snakeboard | Reduction | Two-wheeled carriage | Measure | Diffusion | Chaplygin system | Non-holonomic system | Generator | Symmetry | MATHEMATICS, APPLIED | diffusion | snakeboard | generator | CHAPLYGIN SYSTEMS | MATHEMATICS | measure | symmetry | reduction | two-wheeled carriage

Journal Article

Journal of Mathematical Physics, ISSN 0022-2488, 02/2015, Volume 56, Issue 2, p. 22108

Noether’s theorem on constants of the motion of dynamical systems has recently been extended to classical dissipative systems (Markovian semi-groups) by Baez...

Commutativity | Markov processes | Theorems | Hilbert space | Maps | Energy dissipation | Mathematics | HILBERT SPACE | NATURAL ANALOGUE | HEISENBERG PICTURE | MAPS | MARKOV PROCESS | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | MAPPING | RELAXATION | DENSITY MATRIX

Commutativity | Markov processes | Theorems | Hilbert space | Maps | Energy dissipation | Mathematics | HILBERT SPACE | NATURAL ANALOGUE | HEISENBERG PICTURE | MAPS | MARKOV PROCESS | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | MAPPING | RELAXATION | DENSITY MATRIX

Journal Article

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