Astrophysics and Space Science Library

Integrable Problems of Celestial Mechanics in Spaces of Constant Curvature

Authors: Vozmischeva, T.G.

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About this book

Introd uction The problem of integrability or nonintegrability of dynamical systems is one of the central problems of mathematics and mechanics. Integrable cases are of considerable interest, since, by examining them, one can study general laws of behavior for the solutions of these systems. The classical approach to studying dynamical systems assumes a search for explicit formulas for the solutions of motion equations and then their analysis. This approach stimulated the development of new areas in mathematics, such as the al­ gebraic integration and the theory of elliptic and theta functions. In spite of this, the qualitative methods of studying dynamical systems are much actual. It was Poincare who founded the qualitative theory of differential equa­ tions. Poincare, working out qualitative methods, studied the problems of celestial mechanics and cosmology in which it is especially important to understand the behavior of trajectories of motion, i.e., the solutions of differential equations at infinite time. Namely, beginning from Poincare systems of equations (in connection with the study of the problems of ce­ lestial mechanics), the right-hand parts of which don't depend explicitly on the independent variable of time, i.e., dynamical systems, are studied.

Table of contents (5 chapters)

Table of contents (5 chapters)

Buy this book

eBook $109.00
price for USA in USD (gross)
  • ISBN 978-94-017-0303-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $149.99
price for USA in USD
  • ISBN 978-1-4020-1521-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $139.99
price for USA in USD
  • ISBN 978-90-481-6382-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Integrable Problems of Celestial Mechanics in Spaces of Constant Curvature
Authors
Series Title
Astrophysics and Space Science Library
Series Volume
295
Copyright
2003
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media Dordrecht
eBook ISBN
978-94-017-0303-1
DOI
10.1007/978-94-017-0303-1
Hardcover ISBN
978-1-4020-1521-2
Softcover ISBN
978-90-481-6382-3
Series ISSN
0067-0057
Edition Number
1
Number of Pages
XI, 184
Topics