Solution and Characteristic Analysis of Fractional-Order Chaotic Systems

ISBN-13: 9789811932755 / Angielski / Miękka / 2023

Kehui Sun;Shaobo He;Huihai Wang

Opis

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.

Spis treści

1. Introduction

2. Frequency domain approximation method

3. Adams-Bashforth-Moulton predictor-corrector method 

4. Adomian decomposition method

5. Performance comparison of the solving algorithms

6. Analysis of the dynamical characteristics of fractional-order chaotic systems

7. Complexity analysis of fractional-order chaotic systems

8. Circuit design and implementation of fractional-order chaotic systems

9. Applications of fractional-order chaotic systems

10. Solution and characteristics analysis of fractional-order discrete chaotic systems

O autorze

Kehui Sun received his Ph.D. from Central South University, China, in 2005. In 2008, he worked at the University of Wisconsin-Madison as a visiting scholar. He is currently a professor at Central South University and serves as the dean of the School of Physics and Electronics since 2019. He is also the vice-chair of Hunan Instrument and Control Society, China. By 2020, his h-index is 30. His research interests include chaos modeling and its applications, chaotic information security, and nonlinear circuits.

Shaobo He received his Ph.D. from Central South University, China, in 2016. He is currently an associate professor at the School of Physics and Electronics, Central South University, China. By 2022, his h-index is 28. His research interests include dynamical analysis and applications of nonlinear systems, especially those with fractional derivative.

Huihai Wang received his Ph.D. from Central South University, China, in 2016. In 2018, he worked at University of Michigan-Ann Arbor as a visiting scholar. He is an associate professor at the School of Physics and Electronics, Central South University, China. His research interests include chaos theory and its applications, and nonlinear circuits.