A novel class of two-dimensional chaotic maps with infinitely many coexisting attractors
A novel class of two-dimensional chaotic maps with infinitely many coexisting attractors
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一类新颖的具有无限多个共存吸引子的二维混沌映射
DOI：
10.1088/1674-1056/ab8626
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发表时间：
2020-04
影响因子：
1.7
通讯作者：
Bi Qinsheng
中科院分区：
文献类型：
--
作者：
Zhang Liping;Liu Yang;Wei Zhouchao;Jiang Haibo;Bi Qinsheng
研究了一类新的具有无穷多个共存吸引子的二维映射。首先，通过引入正弦函数建立了这些映射的数学模型。研究了模型中不动点的存在性和稳定性，指出不动点是无穷多的且都是不稳定的。特别是，利用计算机搜索程序探索了这些映射中的混沌吸引子，并以一个简单的映射为例展示了它们的复杂动力学。有趣的是，这种映射包含无限多的共存吸引子，这在文献中很少报道。通过研究这些共存吸引子的时间历程、相轨迹、吸引盆、Lyapunov指数谱和Lyapunov(Kaplan-York ke)维，对这些共存吸引子进行了进一步研究。分叉分析表明，该映射具有周期解和混沌解，更重要的是表现出极大的多重稳定性。
We study a novel class of two-dimensional maps with infinitely many coexisting attractors. Firstly, the mathematical model of these maps is formulated by introducing a sinusoidal function. The existence and the stability of the fixed points in the model are studied indicating that they are infinitely many and all unstable. In particular, a computer searching program is employed to explore the chaotic attractors in these maps, and a simple map is exemplified to show their complex dynamics. Interestingly, this map contains infinitely many coexisting attractors which has been rarely reported in the literature. Further studies on these coexisting attractors are carried out by investigating their time histories, phase trajectories, basins of attraction, Lyapunov exponents spectrum, and Lyapunov (Kaplan–Yorke) dimension. Bifurcation analysis reveals that the map has periodic and chaotic solutions, and more importantly, exhibits extreme multi-stability.
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影响因子：
7.7
作者：
Hua, Zhongyun;Zhou, Binghang;Zhou, Yicong
通讯作者：
Zhou, Yicong
DOI：
10.3390/e20100720
发表时间：
2018-09-20
期刊：
Entropy (Basel, Switzerland)
影响因子：
--
作者：
Ouannas A;Wang X;Khennaoui AA;Bendoukha S;Pham VT;Alsaadi FE
通讯作者：
Alsaadi FE
影响因子：
5.6
作者：
Xiaolin Ye;Xing-yuan Wang;Suo Gao;Jun Mou;Zhisen Wang;Feifei Yang
通讯作者：
Xiaolin Ye;Xing-yuan Wang;Suo Gao;Jun Mou;Zhisen Wang;Feifei Yang
影响因子：
5.6
作者：
Liu, Yang;Paez Chavez, Joseph
通讯作者：
Paez Chavez, Joseph
影响因子：
2.2
作者：
Jiang, Haibo;Liu, Yang;Zhang, Liping
通讯作者：
Zhang, Liping