Fractional Discrete Chaos Theories, Methods and Applications【電子書籍】[ Adel Ouannas ] 【送料無料】

Fractional Discrete Chaos Theories, Methods and Applications【電子書籍】[ Adel Ouannas ]

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＜p＞In 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.＜/p＞＜p＞The aims of this book are as follows:＜/p＞＜p＞＜strong＞Contents:＜/strong＞＜/p＞＜ul＞＜li＞Discrete Fractional Calculus＜/li＞＜li＞Chaotic Methods and Tests＜/li＞＜li＞Chaos in 2D Discrete Fractional Systems＜/li＞＜li＞Chaos in 3D Discrete Fractional Systems＜/li＞＜li＞Applications of Fractional Chaotic Maps＜/li＞＜/ul＞＜p＞＜strong＞Readership:＜/strong＞ Graduate students and researchers in chaos, applied mathematics, computer science and engineering.＜br /＞＜strong＞Key Features:＜/strong＞＜/p＞＜ul＞＜li＞First book on the market to cover recent findings on fractional-order chaotic maps and their applications＜/li＞＜li＞Targets specialist scientists from different fields of applied mathematics, computer science and engineering＜/li＞＜li＞Helps the understanding of fractional-order discrete-time/difference operators, two- and three-dimensional fractional-order maps and their chaotic behaviors, as well as proposed control strategies together with synchronizations of such maps＜/li＞＜li＞Offers several illustrations for fractional-order chaotic maps related to the main two themes: control and synchronization＜/li＞＜/ul＞画面が切り替わりますので、しばらくお待ち下さい。

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