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Billiards: A Generic Introduction to the Dynamics of Systems With Impacts (Translations of Mathematical Monographs) Books
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Binding: Hardcover
Dewey Decimal Number: 515.352
EAN: 9780821845509
ISBN: 0821845500
Label: Amer Mathematical Society
Manufacturer: Amer Mathematical Society
Number Of Pages: 193
Publication Date: 1991-06
Publisher: Amer Mathematical Society
Sales Rank: 3273396
Studio: Amer Mathematical Society
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Product Description:
Starting with the work of G. D. Birkhoff, billiards have been a popular research topic drawing on such areas as ergodic theory, Morse theory, and KAM theory. Billiard systems are also remarkable in that they arise naturally in a number of important problems of mechanics and physics.
This book is devoted to mathematical aspects of the theory of dynamical systems of billiard type. Focusing on the genetic approach, the authors strive to clarify the genesis of the basic ideas and concepts of the theory of dynamical systems with impact interactions and also to demonstrate that these methods are natural and effective. Recent limit theorems, which justify various mathematical models of impact theory, are key features. Questions of existence and stability of periodic trajectories of elastic billiards occupy a special place in the book, and considerable attention is devoted to integrable billiards. A brief survey is given of work on billiards with ergodic behavior. Each chapter ends with a list of problems.
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