Wada bifurcations and partially Wada basin boundaries in a two-dimensional cubic map |
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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: | The partially Wada basin boundaries are referred to the coexistence of Wada points and non-Wada points in the same basin boundary. We demonstrate two types of Wada bifurcations and analyze the transitions from totally Wada basins to partially Wada basins and from totally Wada basins to totally Wada basins in a two-dimensional cubic map. We describe some numerical experiments giving the evidence of partially Wada basin boundaries. Our results show that the basin cell erosion and the basin cell bifurcation can induce the Wada basin boundary metamorphoses. |
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| Keywords: | Wada bifurcation Partially Wada basin boundary Basin cell |
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