Generating 2n‐wing attractors from Lorenz‐like systems
Generating 2n‐wing attractors from Lorenz‐like systems
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DOI：
10.1002/cta.558
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发表时间：
2010-04
影响因子：
2.3
通讯作者：
Simin Yu;W. Tang;Jinhu Lu;Guanrong Chen
中科院分区：
文献类型：
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作者：
Simin Yu;W. Tang;Jinhu Lu;Guanrong Chen
本文通过数值模拟和电路实现两种方法证实了一类Lorenz-like系统中2n翼混沌吸引子的存在性。通过用一个新设计的多段二次函数代替原类Lorenz系统中的非线性叉积或平方项，可以生成多翼吸引子。主要的设计思想是增加系统的指数-2平衡点的数量。这种方法不仅可以在不同的Lorenz类系统中生成多翼吸引子，还可以灵活地指定要创建的翼的精确数量。版权所有© 2008约翰威利父子有限公司。
In this paper, the existence of 2n‐wing chaotic attractors in a family of Lorenz‐like systems is confirmed by both numerical simulation and circuit realization. By replacing a nonlinear cross‐product or square term in an original Lorenz‐like system with a newly designed multi‐segment quadratic function, multi‐wing attractor can be generated. The main design idea is to increase the number of index‐2 equilibrium points of the system. This approach can not only generate multi‐wing attractors in different Lorenz‐like systems, but can also allow the flexibility in specifying a precise number of wings to be created. Copyright © 2008 John Wiley & Sons, Ltd.