Chaos and multi-scroll attractors in RCL-shunted junction coupled Jerk circuit connected by memristor.
Chaos and multi-scroll attractors in RCL-shunted junction coupled Jerk circuit connected by memristor.
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由忆阻器连接的 RCL 并联结耦合 Jerk 电路中的混沌和多涡旋吸引子。
DOI：
10.1371/journal.pone.0191120
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发表时间：
2018
期刊：
影响因子：
3.7
通讯作者：
Wang C
中科院分区：
文献类型：
--
作者：
Ma J;Zhou P;Ahmad B;Ren G;Wang C
本文提出了一种新的四变量动力学系统来建立由忆阻器和约瑟夫森结组成的混沌电路，并研究了混沌行为与非线性的关系。采用磁通控制忆阻器与RCL并联结电路耦合，通过改变忆阻器与RCL并联结之间的耦合强度，可以调制其动力学行为。通过计算分岔图和李雅普诺夫指数，证实了改进后的动力系统出现了混沌。系统的输出和动力学行为可以通过初始设置和外部激励来控制。结果表明，负反馈可以抑制混沌，并在采样输出中产生尖峰，而通过忆阻器施加正反馈可以有效地触发混沌。此外，研究发现，当忆阻器耦合作用于Jerk电路时，电路中多吸引子的数目可以被调制。这些结果表明，忆阻器耦合可以有效地控制混沌电路，它也是有用的再现神经元活动的动力学行为。
In this paper, a new four-variable dynamical system is proposed to set chaotic circuit composed of memristor and Josephson junction, and the dependence of chaotic behaviors on nonlinearity is investigated. A magnetic flux-controlled memristor is used to couple with the RCL-shunted junction circuit, and the dynamical behaviors can be modulated by changing the coupling intensity between the memristor and the RCL-shunted junction. Bifurcation diagram and Lyapunov exponent are calculated to confirm the emergence of chaos in the improved dynamical system. The outputs and dynamical behaviors can be controlled by the initial setting and external stimulus as well. As a result, chaos can be suppressed and spiking occurs in the sampled outputs under negative feedback, while applying positive feedback type via memristor can be effective to trigger chaos. Furthermore, it is found that the number of multi-attractors in the Jerk circuit can be modulated when memristor coupling is applied on the circuit. These results indicate that memristor coupling can be effective to control chaotic circuits and it is also useful to reproduce dynamical behaviors for neuronal activities.
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