电容器耦合约瑟夫森结连接的Chua电路的同步控制
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O441.4; O193

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国家自然科学基金


Synchronization Control of Chua’s Circuits Connected by Josephson Junction Via Capacitive Coupling
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    摘要:

    混沌现象是自然界中普遍存在的非线性动力系统的独特行为,具有不可预测、对初始条件敏感等特点,混沌同步在生物、医学和保密通信等领域有着广泛的应用。本文首先在Chua电路的基础上通过并联约瑟夫森结建立了一个四维的动力系统,并对其动力学行为进行了分析,结果表明该电路可以表现为周期态和混沌态。其次,结合数值模拟分类讨论了电容器耦合两个周期系统、两个混沌系统以及周期和混沌系统的完全同步行为,结果表明无论是否有外界磁场的作用,通过改变耦合强度的大小可以使电容器耦合的两个全同周期系统或两个全同混沌系统实现完全同步,而耦合两个参数不同的系统无法实现完全同步,但在合适的外界磁场下,可以达到几乎完全同步。

    Abstract:

    Chaos phenomenon is a unique behavior of nonlinear dynamical systems ubiquitous in nature, which is unpredictable and sensitive to initial conditions. Chaos synchronization is widely used in biology, medicine, secure communication and so on. In this paper, a four-dimensional dynamic system is established by parallel Josephson junction on the basis of Chua’s circuit, and its dynamic behavior is analyzed. The results show that the circuit can exhibit periodic and chaotic states. Secondly, combined with numerical simulation, we classify and discuss the complete synchronization behavior of capacitor coupling two periodic systems, two chaotic systems or periodic and chaotic system. The results show that the complete synchronization can be achieved by changing the coupling strength of two completely identical periodic systems or two completely identical chaotic systems, regardless of whether there is an external magnetic field. However, the coupling system with two different parameters cannot achieve perfect synchronization, but under the appropriate external magnetic field, almost complete synchronization can be achieved.

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蒋玲凤,安新磊,任雁澜. 电容器耦合约瑟夫森结连接的Chua电路的同步控制[J]. 科学技术与工程, 2023, 23(19): 8071-8077.
Jiang Lingfeng, An Xinlei, Ren Yanlan. Synchronization Control of Chua’s Circuits Connected by Josephson Junction Via Capacitive Coupling[J]. Science Technology and Engineering,2023,23(19):8071-8077.

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历史
  • 收稿日期:2022-10-15
  • 最后修改日期:2023-06-12
  • 录用日期:2023-02-02
  • 在线发布日期: 2023-07-11
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