Study of Synchronization for Fractional-order Hyperchaotic System and Its Application in Secure Communication

Abstract

Abstract: A unidirectionally coupled synchronization method was adopted to design and implement the synchronization for the reported commensurate fractional-order hyperchaotic system, and its correctness and effectiveness were analyzed in theory. Moreover, taking an example of 3.6-order hyperchaotic system, analog circuits were designed to implement the fractional-order hyperchaotic system and its unidirectionally coupled synchronization with the frequency-domain approximation method based on Bode diagram. By conducting the circuit implementation, it is found that the results of the circuit implementation are in good agreement with those of the numerical simulation, which demonstrates the feasibility of the synchronization. On this basis, a secure communication scheme of chaotic masking based on the adopted synchronization method is investigated, and the circuit experiment results agree with the numerical simulation results, indicating that the secure communication scheme is effective and has good secrecy.

Key words: fractional-order hyperchaotic system, unidirectionally coupled synchronization, secure communication, circuit implementation, numerical simulation

CLC Number:

TP391.9

Xue Wei, Xu Jinkang, Jia Hongyan. Study of Synchronization for Fractional-order Hyperchaotic System and Its Application in Secure Communication[J]. Journal of System Simulation, 2016, 28(8): 1915-1922.

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