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General anticipating response in coupled dynamical systems
Hua Yan1, Ping Wei, Xian-Ci Xiao
1School of Electronic Engineering, University of Electronic Science and Technology of China, Chengdu, Sichuan 610054, China.
Abstract:
We suggest a general anticipating response scheme from which a large class of different drive-response systems can be constructed by choosing a function to be determined. A specific case of the general scheme is studied in detail. This specific scheme, which is called the accelerative anticipating response scheme, makes the response system evolve along the same trajectory as the driver but with a faster speed. This counterintuitive phenomenon is proved to be robust against the disturbances of the driving term and the driving signal as well as parameter mismatches. So it may have potential applications in the environment where disturbances and parameter mismatches are unavoidable.
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