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

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English Pages 344 [343] Year 1994

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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

Dynamical Systems VII: Integrable Systems Nonholonomic Dynamical Systems [1 ed.]
 3540181768, 9783540181767

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