Complex generalized synchronization of complex-variable chaotic systems
School of Mathematical Sciences, University of Jinan, 250022, Jinan, China
2 School of Electrical Engineering and Automation, Qilu University of Technology (Shandong Academy of Sciences), 250303, Jinan, China
3 School of Mathematics and Statistics, Qilu University of Technology (Shandong Academy of Sciences), 250353, Jinan, China
Accepted: 28 April 2021
Published online: 11 June 2021
Dynamical behaviors and generalized synchronization play an important role in chaotic application. In this paper, bi-stability and the Hamilton energy are discussed in a one-parameter chaotic system in complex field. Then, based on the Lyapunov stability theory, a scheme of complex generalized synchronization with regard to a complex vector map (CGS) is designed for complex dynamical system with complex parameters. Finally, CGS of coexisting chaotic attractors as well as two strictly different complex chaotic systems is achieved.
© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2021