https://doi.org/10.1140/epjst/e2015-02482-y
Regular Article
Switched generalized function projective synchronization of two hyperchaotic systems with hidden attractors
1 School of Mathematics and Information Science, Guangxi Universities Key Lab of Complex System Optimization and Big Data Processing, Yulin Normal University, Yulin 537000, PR China
2 Business School, University of International Business and Economics, Beijing 100029, PR China
3 School of Mathematics and Physics, China University of Geosciences, Wuhan 430074, PR China
4 College of Mechanical Engineering, Beijing University of Technology, Beijing 100124, PR China
a e-mail: weizhouchao@163.com
Received: 17 February 2015
Revised: 20 May 2015
Published online: 27 July 2015
This work is involved with new results for adaptive switched generalized function projective synchronization between hyperchaotic diffusionless Lorenz equations (2014) and modified Lorenz-Stenflo system (2014), when the two system parameters are unknown. Hyperchaotic diffusionless Lorenz equations and modified Lorenz-Stenflo system belong to a newly introduced category of chaotic systems, and both generate hidden hyperchaos and complicated phenomena. Based on the Lyapunov stability theory, corresponding adaptive controllers with appropriate parameter update laws are constructed to achieve adaptive switched generalized function projective synchronization between the two different hyperchaotic systems. Numerical simulations are given to show the feasibility of theoretical results.
© EDP Sciences, Springer-Verlag, 2015
