{"product_id":"9781441965806","title":"Principles of Discontinuous Dynamical Systems","description":"\u003ch1\u003ePrinciples of Discontinuous Dynamical Systems\u003c\/h1\u003e \u003ch2\u003eAkhmet, Marat\u003c\/h2\u003e \u003cp\u003eDiscontinuous dynamical systems have played an important role in both theory and applications during the last several decades. This is still an area of active research and techniques to make the applications more effective are an ongoing topic of interest.\n\n\u003ci\u003ePrinciples of Discontinuous Dynamical Systems\u003c\/i\u003e is devoted to the theory of  differential equations with variable moments of impulses. It introduces a new strategy of implementing an equivalence to systems whose solutions have prescribed moments of impulses and utilizing special topologies in spaces of piecewise continuous functions. The achievements obtained on the basis of this approach are described in this book. The text progresses systematically, by covering preliminaries in the first four chapters. This is followed by more complex material and special topics such as Hopf bifurcation, Devaney's chaos, and the shadowing property are discussed in the last two chapters.\n\nThis book is suitable for researchers and graduate students in  mathematics and also in diverse areas such as biology, computer science, and engineering who deal with real world problems.\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2010-08-11\u003c\/p\u003e \u003cp\u003eFormat: Hardcover\u003c\/p\u003e \u003cp\u003eISBN-13: 9781441965806\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-1-4419-6581-3\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 176\u003c\/p\u003e ","brand":"Springer New York","offers":[{"title":"Default Title","offer_id":46545192845452,"sku":"9781441965806","price":49.49,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9781441965806.jpg?v=1775772212","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9781441965806","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}