COMPLETE SYNCHRONIZATION OF 5D HYPERCHAOTIC SYSTEM

S. O. OGUNDIPE, U. E. VINCENT, J. A. LAOYE, R. K. ODUNAIKE

Abstract


In this paper, we present the synchronization of a 5D hyperchaotic system,In this case, the dimension of the phase space that embeds the chaotic system is five, which will require the minimum number of coupled first order autonomous differ-
ential equations to be five which is a more complex system when compared with the 4-D system. More complex attractors and randomness displayed by the system make the embedded synchronized information difficult to be intruded and we believe that this will create more construction variations for error space vectors because of the higher number of variables present. We demonstrate the realization of complete synchronization of this 5-Dimensional hyperchaotic system. Using the active backstep-ping technique, the usual master-slave synchronization scheme for low order chaotic systems is extended to study the synchronization of higher order systems. Our numerical results confirm the effectiveness of the proposed analytical technique. This proposal was achieved, and we believe that the result will be useful in ensuring better security when applied in communication and encryption of information.


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