Unpredictability of the Wada property in the parameter plane |
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| Authors: | Yongxiang Zhang Guanwei Luo |
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| Institution: | 1. College of Science, Shenyang Agricultural University, Shenyang 110866, China;2. Gansu Key Laboratory for System Dynamics and Reliability of Railway Transportation Equipment, Lanzhou Jiaotong University, Lanzhou 730070, China |
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| Abstract: | We show a type of unpredictability of the Wada property in the parameter plane for fixed initial conditions. This property indicates a larger unpredictability of sensitive dependence on parameters except for the riddled parameter sets. We describe some numerical experiments giving evidences of the parameter Wada property for different types of attractors including strange nonchaotic attractors. A scaling exponent is used to characterize sensitive dependence on parameters. We present a qualitative explanation on the occurrence of the Wada property in the parameter plane. |
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| Keywords: | Wada property Basin of attraction Strange nonchaotic attractors Unpredictability |
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