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World Scientific Publishing Company

Fractional Discrete Chaos : Theories, Methods and Applications

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Product Code: 9789811271205
ISBN13: 9789811271205
Condition: New
$84.31
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.The aims of this book are as follows:


Author: Adel Ouannas, Iqbal M Batiha, Viet-Thanh Pham
Publisher: World Scientific Publishing Company
Publication Date: Mar 10, 2023
Number of Pages: NA pages
Language: English
Binding: Hardcover
ISBN-10: 9811271208
ISBN-13: 9789811271205

Fractional Discrete Chaos : Theories, Methods and Applications

$84.31
 
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.The aims of this book are as follows:


Author: Adel Ouannas, Iqbal M Batiha, Viet-Thanh Pham
Publisher: World Scientific Publishing Company
Publication Date: Mar 10, 2023
Number of Pages: NA pages
Language: English
Binding: Hardcover
ISBN-10: 9811271208
ISBN-13: 9789811271205
 

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