Beginning with the paintings of G. D. Birkhoff, billiards were a well-liked learn subject drawing on such parts as ergodic thought, Morse idea, and KAM thought. Billiard platforms also are awesome in that they come up certainly in a few vital difficulties of mechanics and physics. This booklet is dedicated to mathematical features of the idea of dynamical structures of billiard sort. targeting the genetic technique, the authors try to elucidate the genesis of the fundamental rules and ideas of the idea of dynamical structures with influence interactions and in addition to illustrate that those equipment are normal and powerful. contemporary restrict theorems, which justify a number of mathematical versions of influence concept, are key positive factors. Questions of lifestyles and balance of periodic trajectories of elastic billiards occupy a different position within the e-book, and significant consciousness is dedicated to integrable billiards. a quick survey is given of labor on billiards with ergodic habit. every one bankruptcy ends with an inventory of difficulties.
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