Fractional Discrete Chaos: Theories, Methods And Applications
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A01=Adel Ouannas
A01=Iqbal M Batiha
A01=Viet-thanh Pham
Author_Adel Ouannas
Author_Iqbal M Batiha
Author_Viet-thanh Pham
Category=UYAM
Chaos
Control
Discrete Fractional Calculus
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Synchronization
The Fractional-Order Chaotic Maps
Product details
- ISBN 9789811271205
- Publication Date: 10 Mar 2023
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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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:
