Adaptive hybrid complex projective combination–combination synchronization in non-identical hyperchaotic complex systems

In this paper, we propose an adaptive hybrid complex projective combination–combination synchronization method to synchronize the hyperchaotic (HC) complex Lorenz system and HC complex Lu system. The adaptive control laws and parameter update laws are derived from making the state of HC complex systems asymptotically stable by using Lyapunov stability theory. During these studies, the coupled HC complex systems (master and slave systems) evolve in a distinct direction with a constant intersection phase angle. Numerical simulations are performed to illustrate the validity and effectiveness of the proposed scheme using MATLAB. © 2019, Springer-Verlag GmbH Germany, part of Springer Nature.