Astrophysics and Space Science Library: Integrable Problems of Celestial Mechanics in Spaces of Constant Curvature (Volume 295)

Vozmischeva, T.G.

ISBN 10: 1402015216 / ISBN 13: 9781402015212

Editore: Kluwer Academic, 2003

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Volume 295. This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. In good all round condition. No dust jacket. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,550grams, ISBN:9781402015212.

Codice articolo 9890176

Dati bibliografici

• Titolo: Astrophysics and Space Science Library: Integrable Problems of Celestial Mechanics in Spaces of Constant Curvature (Volume 295)
• Editore: Kluwer Academic
• Data di pubblicazione: 2003
• Lingua: Inglese
• ISBN 10: 1402015216
• ISBN 13: 9781402015212
• Rilegatura: Rilegato
• Condizione: Good
• Peso: 550 grammi
• Cataloghi dei venditori:
  • Astronomy & Cosmology

Descrizione articolo

Riassunto

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.