{"product_id":"fractional-discrete-chaos-theories-methods-and-applications-hardcover","title":"Fractional Discrete Chaos: Theories, Methods and Applications - Hardcover","description":"\u003cp\u003eby \u003cb\u003eAdel Ouannas\u003c\/b\u003e (Author), \u003cb\u003eIqbal M. Batiha\u003c\/b\u003e (Author), \u003cb\u003eViet-Thanh Pham\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eIn the nineteenth-century, fractional calculus had its origin in extending differentiation and integration operators from the integer-order case to the fractional-order case. Discrete fractional calculus has recently become an important research topic, useful in various science and engineering applications. The first definition of the fractional-order discrete-time\/difference operator was introduced in 1974 by Diaz and Osler, where such operator was derived by discretizing the fractional-order continuous-time operator. Successfully, several types of fractional-order difference operators have then been proposed and introduced through further generalizing numerous classical operators, motivating several researchers to publish extensively on a new class of systems, viz the nonlinear fractional-order discrete-time systems (or simply, the fractional-order maps), and their chaotic behaviors. This discovery of chaos in such maps, has led to novel control methods for effectively stabilizing their chaotic dynamics.\u003c\/p\u003e\u003cp\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003eThe aims of this book are as follows: \u003c\/p\u003e\u003cul\u003e\n\u003cli\u003ePresenting the recent developments, trends, research solutions, applications and open problems related to fractional-order chaotic maps;\u003c\/li\u003e\n\u003cli\u003eIllustrating many interdisciplinary applications, like modulization, control, circuits, security and encryption;\u003c\/li\u003e\n\u003cli\u003eIncluding all theories associated with chaos, control and synchronization of discrete-time systems;\u003c\/li\u003e\n\u003cli\u003eProviding a useful reference on the topic of fractional-order chaotic maps and their applications.\u003c\/li\u003e\n\u003c\/ul\u003e\u003cp\u003e\u003cbr\u003e\u003c\/p\u003e\u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 220\u003c\/div\u003e\u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.56 x 9 x 6 IN\u003c\/div\u003e\u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e March 10, 2023\u003c\/div\u003e","brand":"Books by splitShops","offers":[{"title":"Default Title","offer_id":42171983298695,"sku":"9789811271205","price":126.36,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0601\/2623\/2711\/files\/480bb2e20bd889a37eef99553075db8a.webp?v=1733359673","url":"https:\/\/booksby.splitshops.com\/products\/fractional-discrete-chaos-theories-methods-and-applications-hardcover","provider":"Books by splitShops","version":"1.0","type":"link"}