Solution And Characteristic Analysis Of Fractional Order Chaotic Systems
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Solution and Characteristic Analysis of Fractional Order Chaotic Systems
Author | : Kehui Sun,Shaobo He,Huihai Wang |
Publsiher | : Springer Nature |
Total Pages | : 254 |
Release | : 2022-09-04 |
Genre | : Science |
ISBN | : 9789811932731 |
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This book highlights the solution algorithms and characteristic analysis methods of fractional-order chaotic systems. Fractal dimensions exist broadly in the study of nature and the development of science and technology. Fractional calculus has become a hot research area in nonlinear science. Fractional-order chaotic systems are an important part of fractional calculus. The book discusses the numerical solution algorithms and characteristic analysis of fractional-order chaotic systems and introduces the techniques to implement the systems with circuits. To facilitate a quick grasp, the authors present examples from their years of work in the appendix. Intended for graduate students and researchers interested in chaotic systems, the book helps one to build a theoretical and experimental foundation for the application of fractional-order chaotic systems.
Fractional Order Nonlinear Systems
Author | : Ivo Petráš |
Publsiher | : Springer Science & Business Media |
Total Pages | : 218 |
Release | : 2011-05-30 |
Genre | : Technology & Engineering |
ISBN | : 9783642181016 |
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"Fractional-Order Nonlinear Systems: Modeling, Analysis and Simulation" presents a study of fractional-order chaotic systems accompanied by Matlab programs for simulating their state space trajectories, which are shown in the illustrations in the book. Description of the chaotic systems is clearly presented and their analysis and numerical solution are done in an easy-to-follow manner. Simulink models for the selected fractional-order systems are also presented. The readers will understand the fundamentals of the fractional calculus, how real dynamical systems can be described using fractional derivatives and fractional differential equations, how such equations can be solved, and how to simulate and explore chaotic systems of fractional order. The book addresses to mathematicians, physicists, engineers, and other scientists interested in chaos phenomena or in fractional-order systems. It can be used in courses on dynamical systems, control theory, and applied mathematics at graduate or postgraduate level. Ivo Petráš is an Associate Professor of automatic control and the Director of the Institute of Control and Informatization of Production Processes, Faculty of BERG, Technical University of Košice, Slovak Republic. His main research interests include control systems, industrial automation, and applied mathematics.
Bifurcation and Chaos in Fractional Order Systems
Author | : Marius-F. Danca,Guanrong Chen |
Publsiher | : MDPI |
Total Pages | : 108 |
Release | : 2021-01-19 |
Genre | : Technology & Engineering |
ISBN | : 9783036500928 |
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This book presents a collection of seven technical papers on fractional-order complex systems, especially chaotic systems with hidden attractors and symmetries, in the research front of the field, which will be beneficial for scientific researchers, graduate students, and technical professionals to study and apply. It is also suitable for teaching lectures and for seminars to use as a reference on related topics.
GreeNets 2021
Author | : Peng Li,Jun Mou,Lei Fan,Yinghong Cao |
Publsiher | : European Alliance for Innovation |
Total Pages | : 447 |
Release | : 2021-08-30 |
Genre | : Social Science |
ISBN | : 9781631903137 |
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This book constitutes the refereed post-conference proceedings of the 8th EAI International Conference on Green Energy and Networking, GreeNets 2021, held in Dalian, China, June 6-7, 2021. The 31 revised full papers were carefully selected form 85 submissions. The papers are organized thematically in green energy, green communication and networking, intelligent lighting control, machine learning, nonlinear system and circuits, and image encryption. The papers present a wide range of applications in civilian and commercial areas to reduce the impact of the climate change, while maintaining social prosperity.
Advanced Synchronization Control and Bifurcation of Chaotic Fractional Order Systems
Author | : Boulkroune, Abdesselem,Ladaci, Samir |
Publsiher | : IGI Global |
Total Pages | : 539 |
Release | : 2018-05-11 |
Genre | : Computers |
ISBN | : 9781522554196 |
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In the recent years, fractional-order systems have been studied by many researchers in the engineering field. It was found that many systems can be described more accurately by fractional differential equations than by integer-order models. Advanced Synchronization Control and Bifurcation of Chaotic Fractional-Order Systems is a scholarly publication that explores new developments related to novel chaotic fractional-order systems, control schemes, and their applications. Featuring coverage on a wide range of topics including chaos synchronization, nonlinear control, and cryptography, this publication is geared toward engineers, IT professionals, researchers, and upper-level graduate students seeking current research on chaotic fractional-order systems and their applications in engineering and computer science.
Chaotic Secure Communication
Author | : Kehui Sun |
Publsiher | : Walter de Gruyter GmbH & Co KG |
Total Pages | : 346 |
Release | : 2016-09-26 |
Genre | : Computers |
ISBN | : 9783110434064 |
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The monograph begins with a systematic introduction of chaos and chaos synchronization, and then extends to the methodologies and technologies in secure communication system design and implementation. The author combines theoretical frameworks with empirical studies, making the book a pratical reference for both academics and industrial engineers.
Advances in Synchronization of Coupled Fractional Order Systems
Author | : Rafael Martínez-Guerra,Claudia Alejandra Pérez-Pinacho |
Publsiher | : Springer |
Total Pages | : 185 |
Release | : 2018-07-23 |
Genre | : Science |
ISBN | : 9783319939469 |
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After a short introduction to the fundamentals, this book provides a detailed account of major advances in applying fractional calculus to dynamical systems. Fractional order dynamical systems currently continue to gain further importance in many areas of science and engineering. As with many other approaches to mathematical modeling, the first issue to be addressed is the need to couple a definition of the fractional differentiation or integration operator with the types of dynamical systems that are analyzed. As such, for the fundamentals the focus is on basic aspects of fractional calculus, in particular stability analysis, which is required to tackle synchronization in coupled fractional order systems, to understand the essence of estimators for related integer order systems, and to keep track of the interplay between synchronization and parameter observation. This serves as the common basis for the more advanced topics and applications presented in the subsequent chapters, which include an introduction to the 'Immersion and Invariance' (I&I) methodology, the masterslave synchronization scheme for partially known nonlinear fractional order systems, Fractional Algebraic Observability (FAO) and Fractional Generalized quasi-Synchronization (FGqS) to name but a few. This book is intended not only for applied mathematicians and theoretical physicists, but also for anyone in applied science dealing with complex nonlinear systems.
Synchronization of Integral and Fractional Order Chaotic Systems
Author | : Rafael Martínez-Guerra,Claudia A. Pérez-Pinacho,Gian Carlo Gómez-Cortés |
Publsiher | : Springer |
Total Pages | : 242 |
Release | : 2015-03-17 |
Genre | : Science |
ISBN | : 9783319152844 |
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This book provides a general overview of several concepts of synchronization and brings together related approaches to secure communication in chaotic systems. This is achieved using a combination of analytic, algebraic, geometrical and asymptotical methods to tackle the dynamical feedback stabilization problem. In particular, differential-geometric and algebraic differential concepts reveal important structural properties of chaotic systems and serve as guide for the construction of design procedures for a wide variety of chaotic systems. The basic differential algebraic and geometric concepts are presented in the first few chapters in a novel way as design tools, together with selected experimental studies demonstrating their importance. The subsequent chapters treat recent applications. Written for graduate students in applied physical sciences, systems engineers, and applied mathematicians interested in synchronization of chaotic systems and in secure communications, this self-contained text requires only basic knowledge of integer ordinary and fractional ordinary differential equations. Design applications are illustrated with the help of several physical models of practical interest.