Multiswitching Synchronization of Non-Identical Hyperchaotic Lorenz and Chen Systems

Abstract

In this paper, synchronization of four-dimensional hyperchaotic Lorenz system, (drive system) with the Chen's system (response system) are investigated based on backstepping technique. Unlike the well-known i = j, multiswitching of the indices was employed in the usual master-slave synchronization scheme. We provided varieties of non-identical indices, that is, i = j of the driver system. In this high dimension, more switching options for construct-ing the error space vector due to the large number of variables are available; and by implication providing variety of synchronizaion directions between variables of the master and the slave systems, which could be used in securing electronic information and communication.