Solution and Characteristic Analysis of Fractional-Order Chaotic Systems

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.

Chapter 1: Introduction.- Chapter 2:  Frequency-domain approximation method.- Chapter 3: Predictor-corrector algorithm.- Chapter 4: Adomian decomposition method.- Chapter 5: Performance comparison of solution algorithms.- Chapter 6: Dynamics of fractional-order chaotic systems.- Chapter 7: Complexity analysis of fractional-order chaotic system.- Chapter 8: Circuit design and realization of fractional-order chaotic system.- Chapter 9: Applications of fractional-order chaotic systems in secure communications.- Chapter 10: Solution and characteristic analysis of fractional-order discrete chaotic system.