Wada bifurcations and partially Wada basin boundaries in a two-dimensional cubic map

被引：26
|
作者：
Zhang, Yongxiang [1 ]
Luo, Guanwei [2 ]
机构：
[1] Shenyang Agr Univ, Coll Sci, Shenyang 110866, Peoples R China
[2] Lanzhou Jiaotong Univ, Gansu Key Lab Syst Dynam & Reliabil Railway Trans, Lanzhou 730070, Peoples R China
来源：
PHYSICS LETTERS A | 2013年 / 377卷 / 18期
基金：
中国国家自然科学基金;
关键词：
Wada bifurcation; Partially Wada basin boundary; Basin cell; CHAOTIC SCATTERING; OSCILLATOR; DYNAMICS; CELLS;
D O I：
10.1016/j.physleta.2013.03.027
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
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. (C) 2013 Elsevier B.V. All rights reserved.
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页码：1274 / 1281
页数：8
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