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忆阻系统中共存的多个吸引子和布满孔洞的盆地。

Coexisting multiple attractors and riddled basins of a memristive system.

作者信息

Wang Guangyi, Yuan Fang, Chen Guanrong, Zhang Yu

机构信息

Institute of Modern Circuits and Intelligent Information, Hangzhou Dianzi University, Hangzhou 310018, China.

Department of Electronic Engineering, City University Hong Kong, Hong Kong 999077, China.

出版信息

Chaos. 2018 Jan;28(1):013125. doi: 10.1063/1.5004001.

DOI:10.1063/1.5004001
PMID:29390635
Abstract

In this paper, a new memristor-based chaotic system is designed, analyzed, and implemented. Multistability, multiple attractors, and complex riddled basins are observed from the system, which are investigated along with other dynamical behaviors such as equilibrium points and their stabilities, symmetrical bifurcation diagrams, and sustained chaotic states. With different sets of system parameters, the system can also generate various multi-scroll attractors. Finally, the system is realized by experimental circuits.

摘要

本文设计、分析并实现了一种基于忆阻器的新型混沌系统。从该系统中观察到了多稳定性、多个吸引子和复杂的 riddled 盆地,并对其与其他动力学行为(如平衡点及其稳定性、对称分岔图和持续混沌状态)一起进行了研究。通过设置不同的系统参数集,该系统还可以生成各种多涡卷吸引子。最后,通过实验电路实现了该系统。

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引用本文的文献

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Robust multiple-scroll dynamics in memristive-based generator system.基于忆阻器的发生器系统中的鲁棒多-scroll 动力学。
Sci Rep. 2023 May 22;13(1):8224. doi: 10.1038/s41598-023-34423-1.
2
Implementation of the Simple Hyperchaotic Memristor Circuit with Attractor Evolution and Large-Scale Parameter Permission.具有吸引子演化和大规模参数许可的简单超混沌忆阻器电路的实现
Entropy (Basel). 2023 Jan 19;25(2):203. doi: 10.3390/e25020203.
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Research on cascading high-dimensional isomorphic chaotic maps.级联高维同构混沌映射的研究
Cogn Neurodyn. 2021 Feb;15(1):157-167. doi: 10.1007/s11571-020-09583-9. Epub 2020 Mar 19.
4
Coexisting Attractors and Multistability in a Simple Memristive Wien-Bridge Chaotic Circuit.简单忆阻维恩桥混沌电路中共存吸引子与多稳定性
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