This volume contains five surveys on dynamical systems. The first one deals with nonholonomic mechanics and gives an updated and systematic treatment ofthe geometry of distributions and of variational problems with nonintegrable constraints. The modern language of differential geometry used througho
Dynamical Systems VII: Integrable Systems Nonholonomic Dynamical Systems
β Scribed by V. I. Arnolβd, S. P. Novikov (auth.), V. I. Arnolβd, S. P. Novikov (eds.)
- Publisher
- Springer-Verlag Berlin Heidelberg
- Year
- 1994
- Tongue
- English
- Leaves
- 343
- Series
- Encyclopaedia of Mathematical Sciences 16
- Edition
- 1
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Subjects
Analysis; Manifolds and Cell Complexes (incl. Diff.Topology); Differential Geometry; Systems Theory, Control; Calculus of Variations and Optimal Control; Optimization; Theoretical, Mathematical and Computational Physics
π SIMILAR VOLUMES
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This book gives a modern differential geometric treatment of linearly nonholonomically constrained systems. It discusses in detail what is meant by symmetry of such a system and gives a general theory of how to reduce such a symmetry using the concept of a differential space and the almost Poisson b
<p>The book provides a concise and rigor introduction to the fundamentals of methods for solving the principal problems of modern non-linear dynamics. This monograph covers the basic issues of the theory of integrable systems and the theory of dynamical chaos both in nonintegrable conservative and i