Billiards: A Generic Introduction to the Dynamics of Systems With Impacts - Rilegato

Kozlov, Valerii Viktorovich

 
9780821845509: Billiards: A Generic Introduction to the Dynamics of Systems With Impacts

Sinossi

Clarifies the basic theories of dynamical systems with impact interactions, demonstrating that they are natural and effective. Focuses on the recently devised limit theorems, which justify various mathematical models of impact theory. Translated from the Russian. Annotation copyright Book News, Inc. Portland, Or.

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Contenuti

Introduction: Elements of impact theory; The genetic method in the dynamics of systems with one-sided constraints; Periodic trajectories of the Birkhoff billiard; The Hill equation; Integrable problems; Nonintegrable billiards; Appendix I. Systems with elastic reflections and KAM theory; Appended II. On the connection of dynamic and geometric properties of periodic trajectories.

Product Description

Book by Valelrii V Kozlov and Dmitrii V Treshchev

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