Scaling Synchronization of a 6D Hyperchaotic System

Abstract

Abstract. This paper focuses on the scaling synchronization issue of a 6D hyperchaotic system with one or three equilibria which is obtained by controlling a 5D hyperchaotic system that is formed by adding a linear feedback controller and a nonlinear feedback controller to the Lorenz system. When the parameters are known in advance, applying the one-way linear coupling approach to synchronize the 6D hyperchaotic system up to a scaling factor. When the parameters are fully unknown, utilizing the adaptive method to synchronize the uncertain 6D hyperchaotic system up to a scaling factor. Finally, many numerical simulations have been carried out to verify the validation and efficiency of the proposed schemes.

A New Simple 6D Hyperchaotic System with Hyperbolic Equilibrium and Its Electronic Circuit

“…Despite the fact that several of these systems have (1+ve LE) only such as [24][25][26] and Table 5 lists all sixdimensional systems available in the recent literature [27][28][29][30][31][32][33][34][35][36][37][38]. Through the intense search, it is found that the 6D systems have not received as wide attention as the 4D and 5D systems.…”