Abstract
Chaotic synchronization between linearly coupled discrete fractional Henon maps is investigated in this paper. We obtain the numerical formula of discrete fractional Henon map by utilizing the discrete fractional calculus. We tune the linear coupling parameter and the order parameter of discrete fractional Henon map to obtain the two discrete fractional Henon maps in a synchronized regime and analyze the effect of linear coupling on synchronized degree. It demonstrates that the order parameter of discrete fractional Henon map affects synchronization dynamics and with the increase of linear coupling strength, the effect of synchronization between discrete fractional Henon maps is enhanced. Further investigation reveals that the transition of synchronization between discrete fractional Henon maps are related to the critical changes in linearly coupled strength.
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