Synchronization of hyperchaotic Wang-Liu system with experimental implementation on FPAA and FPGA

Abstract

This paper is concerned with the synchronization of hyperchaotic Wang-Liu system by using the Pecora-Carroll complete replacement method. One of the most important features of this method is no need for a controller on the slave system which is the basic requirement of other synchronization methods. Initially in this study, dynamic analyses are given to describe the structure of the system. Then, the synchronization is investigated and master and slave systems that have two different dynamics are synchronized. At this point, the hyperchaotic master system forces the quasi-periodic slave system to behave as itself and they demonstrate the same hyperchaotic dynamics after a while. Besides the simulations, synchronization of the two systems is also verified by the experimental realization. FPAA and FPGA implementations of hyperchaos synchronization are provided and results are considered. In the end, it is specified that the experimental results are well-coincides with the simulations.