Solution and Characteristic Analysis of Fractional-Order Chaotic SystemsAuthor(s): Kehui Sun
School of Physics and Electronics Central South University  Changsha, Hunan, China



Course description:
The book consists of ten chapters, including the solution, characteristic analysis, and circuit realization of fractional-order chaotic system. In Chap. 1, the research progress of fractional-order chaotic systems is reviewed, and the analysis methods and application fields of fractional-order chaotic systems are introduced. The Chap. 2 describes the time-frequency domain algorithm of fractional-order chaotic system. In Chap. 3, the predictor–corrector algorithm of fractional-order chaotic systems is presented. In Chap. 4, the Adomian decomposition algorithm for solving fractional-order chaotic systems is discussed. In Chap. 5, the performance of three different algorithms is compared. In Chap. 6, the characteristic analysis algorithm of fractional-order chaotic system is discussed. The complexities of fractional-order chaotic systems are analyzed in Chap. 7. In Chap. 8, the circuit realization of fractional-order chaotic system is studied, including analog circuit and digital circuit. In Chap. 9, the application of fractional-order chaotic system in secure communication is studied. In Chap. 10, the solution and characteristic analysis of fractional-order discrete chaotic map are studied. In order to facilitate readers to grasp the research methods of fractional-order chaotic systems quickly, the authors have sorted out the relevant analysis programs accumulated by the research group as Appendix A of this book.
This coursebook is compiled by summarizing our recent research and teaching work on fractional-order chaos, and referring to a large number of domestic and foreign relevant literature.