Dynamical Systems VII: Integrable Systems Nonholonomic Dynamical Systems [1 ed.] 3540181768, 9783540181767
This volume contains five surveys on dynamical systems. The first one deals with nonholonomic mechanics and gives an upd
386 82 2MB
English Pages 344 [343] Year 1994
Table of contents :
Front Matter....Pages i-vii
Front Matter....Pages 1-3
Introduction....Pages 4-9
Geometry of Distributions....Pages 10-35
Basic Theory of Nonholonomic Riemannian Manifolds....Pages 35-50
Nonholonomic Variational Problems on Three-Dimensional Lie Groups....Pages 51-81
Front Matter....Pages 83-86
Introduction....Pages 86-86
Integrable Systems and Finite-Dimensional Lie Algebras....Pages 87-116
Group-Theoretical Methods in the Theory of Finite-Dimensional Integrable Systems....Pages 116-225
Quantization of Open Toda Lattices....Pages 226-259
Front Matter....Pages 261-262
Geometry and Topology of Hamiltonian Systems....Pages 263-303
The Algebra of Hamiltonian Systems....Pages 303-333
Back Matter....Pages 335-344
Front Matter....Pages i-vii
Front Matter....Pages 1-3
Introduction....Pages 4-9
Geometry of Distributions....Pages 10-35
Basic Theory of Nonholonomic Riemannian Manifolds....Pages 35-50
Nonholonomic Variational Problems on Three-Dimensional Lie Groups....Pages 51-81
Front Matter....Pages 83-86
Introduction....Pages 86-86
Integrable Systems and Finite-Dimensional Lie Algebras....Pages 87-116
Group-Theoretical Methods in the Theory of Finite-Dimensional Integrable Systems....Pages 116-225
Quantization of Open Toda Lattices....Pages 226-259
Front Matter....Pages 261-262
Geometry and Topology of Hamiltonian Systems....Pages 263-303
The Algebra of Hamiltonian Systems....Pages 303-333
Back Matter....Pages 335-344
![Dynamical Systems VII: Integrable Systems Nonholonomic Dynamical Systems [1 ed.]
3540181768, 9783540181767](https://ebin.pub/img/200x200/dynamical-systems-vii-integrable-systems-nonholonomic-dynamical-systems-1nbsped-3540181768-9783540181767.jpg)
- Author / Uploaded
- V. I. Arnol’d
- S. P. Novikov (auth.)
- V. I. Arnol’d
- S. P. Novikov (eds.)
- Similar Topics
- Mathematics
- Dynamical Systems
