Billiards A Genetic Introduction to the Dynamics of Systems with Impacts is popular PDF and ePub book, written by Valeriĭ Viktorovich Kozlov in 1991-08-05, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Billiards A Genetic Introduction to the Dynamics of Systems with Impacts can be Read Online from any device for your convenience.
Billiards A Genetic Introduction to the Dynamics of Systems with Impacts Book PDF Summary
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 intereactions 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 behaviour. Each chapter ends with a list of problems.
Detail Book of Billiards A Genetic Introduction to the Dynamics of Systems with Impacts PDF
- Author : Valeriĭ Viktorovich Kozlov
- Release : 05 August 1991
- Publisher : American Mathematical Soc.
- ISBN : 9780821845509
- Genre : Mathematics
- Total Page : 182 pages
- Language : English
- PDF File Size : 19,5 Mb
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