{"product_id":"introduction-to-discontinuous-dynamical-systems-von-xinchu-fu","title":"Introduction to Discontinuous Dynamical Systems","description":"\u003cp\u003eThe topics of this book are dynamical behaviour of a  class of discontinuous maps including piecewise  linear maps on the 2-torus and planar piecewise  isometries, some preliminary symbolic dynamics  approach to these maps, and some aspects of symbolic dynamics itself. At first, a class of piecewise  linear parabolic maps on the torus are discussed.  Then some area-preserving piecewise linear  discontinuous maps of the plane are examined.  Symbolic descriptions of the dynamics and  admissibility conditions for itineraries of a  class of linear maps on the 2-torus and some planar  piecewise isometries are discussed. For the symbolic  dynamical system itself, scrambled sets of shift  maps are discussed, and some problems related to  maximal scrambled sets are also discussed. For the  subshifts generated by the orbit closures of certain  non-periodic recurrent points, their chaotic  properties are investigated. Moreover, a general and  systematic discussion of various symbolic  representations of iterated maps through subshifts  are presented, and examples of partitions and  representations of some discontinuous maps are given.\u003c\/p\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783843379120\"\u003e\u003ch3\u003eDynamical Behaviour of a Class of Discontinuous Maps and Related Topics\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Softcover - 9783843379120","offer_id":39470051328093,"sku":"9783843379120","price":68.0,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/4e52650e-e72a-415d-b9a3-0fd98510d1a0.jpg?v=1781414205","url":"https:\/\/shop.autorenwelt.de\/en\/products\/introduction-to-discontinuous-dynamical-systems-von-xinchu-fu","provider":"Autorenwelt Shop","version":"1.0","type":"link"}