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Synchronization of hyperchaotic oscillators via single unidirectional chaotic-coupling |
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| Authors: | Yan-Li Zou Jie Zhu Guanrong Chen Xiao-Shu Luo |
| Institution: | aDepartment of Electronic Engineering, Shanghai Jiao Tong University, Shanghai 200030, P.R. China bDepartment of Electronic Engineering, City University of Hong Kong, P.R. China cDepartment of Physics and Information Engineering, GuangXi Normal University, Guilin 541004, P.R. China |
| Abstract: | In this paper, synchronization of two hyperchaotic oscillators via a single variable’s unidirectional coupling is studied. First, the synchronizability of the coupled hyperchaotic oscillators is proved mathematically. Then, the convergence speed of this synchronization scheme is analyzed. In order to speed up the response with a relatively large coupling strength, two kinds of chaotic coupling synchronization schemes are proposed. In terms of numerical simulations and the numerical calculation of the largest conditional Lyapunov exponent, it is shown that in a given range of coupling strengths, chaotic-coupling synchronization is quicker than the typical continuous-coupling synchronization. Furthermore, A circuit realization based on the chaotic synchronization scheme is designed and Pspice circuit simulation validates the simulated hyperchaos synchronization mechanism. |
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