{"product_id":"9783319651835","title":"Lecture Notes in Mathematics","description":"\u003ch1\u003eLecture Notes in Mathematics\u003c\/h1\u003e \u003ch2\u003ePilyugin, Sergei Yu; Sakai, Kazuhiro\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\u003cp\u003eFocusing on the theory of shadowing of approximate trajectories (pseudotrajectories) of dynamical systems, this book surveys recent progress in establishing relations between shadowing and such basic notions from the classical theory of structural stability as hyperbolicity and transversality.\u003c\/p\u003e  \u003cp\u003eSpecial attention is given to the study of \"quantitative\" shadowing properties, such as Lipschitz shadowing (it is shown that this property is equivalent to structural stability both for diffeomorphisms and smooth flows), and to the passage to robust shadowing (which is also equivalent to structural stability in the case of diffeomorphisms, while the situation becomes more complicated in the case of flows).\u003c\/p\u003e  \u003cp\u003eRelations between the shadowing property of diffeomorphisms on their chain transitive sets and the hyperbolicity of such sets are also described.\u003c\/p\u003e  \u003cp\u003eThe book will allow young researchers in the field of dynamical systems to gain a better understanding of new ideas in the global qualitative theory. It will also be of interest to specialists in dynamical systems and their applications.\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2017-09-02\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9783319651835\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-319-65184-2\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 218\u003c\/p\u003e ","brand":"Springer International Publishing","offers":[{"title":"Default Title","offer_id":45369833291916,"sku":"9783319651835","price":53.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783319651835.jpg?v=1775675626","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9783319651835","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}