Energy flow-guided synchronization between chaotic circuits | |
Yao, Zhao1; Zhou, Ping2; Alsaedi, Ahmed3; Ma, Jun1,2 | |
2020-06-01 | |
发表期刊 | Applied Mathematics and Computation |
ISSN | 00963003 |
卷号 | 374 |
摘要 | A variety of nonlinear electric devices are suitable for building chaotic circuits by setting appropriate values for parameters in the linear and nonlinear electronic components. The capacitor and induction coil can contain time-varying physical field energy when the time-varying current passed across these devices. When the outputs end of two chaotic circuits are connected via certain coupling devices, energy flow can be propagated bidirectionally and complete synchronization is reached when the energy pumping from the outputs end is balanced. In this paper, a nonreversing diode is connected into the coupling channel to adjust the energy flow via the coupling components (resistor, capacitor, induction coil), which connects the outputs end of two Chua circuits (in chaotic or periodical states). According to Helmholtz’ theorem, the Hamilton energy of the dimensionless chaotic systems under unidirectional coupling is calculated. When the two coupled Chua systems are selected with different initial values, they contain different initial field energies because the Hamilton energy is dependent on the variables of this system completely. When energy flow is propagated and pumped along the coupling channel, synchronization can be realized. Otherwise, synchronization approach is blocked even the coupling intensity is increased greatly. In this work, a single coupling channel connecting a nonreversing diode and resistor (capacitor, induction coil, respectively) in series is built to explore synchronization approach. The results show that the synchronization realization is dependent on the coupling devices and circuit verification is also supplied. It gives important clues to understand the synchronization mechanism in a forward neural network. © 2019 |
关键词 | Chaotic systems Couplings Resistors Timing circuits Circuit verification Complete synchronization Electronic component Energy pumping Field coupling Hamiltons Synchronization mechanisms Unidirectional coupling |
DOI | 10.1016/j.amc.2019.124998 |
收录类别 | SCI ; SCIE ; EI |
语种 | 英语 |
WOS研究方向 | Mathematics |
WOS类目 | Mathematics, Applied |
WOS记录号 | WOS:000513922200002 |
出版者 | Elsevier Inc. |
EI入藏号 | 20200408081348 |
EI主题词 | Synchronization |
EI分类号 | 713.4 Pulse Circuits - 961 Systems Science |
来源库 | Compendex |
分类代码 | 713.4 Pulse Circuits - 961 Systems Science |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | https://ir.lut.edu.cn/handle/2XXMBERH/115643 |
专题 | 理学院 |
通讯作者 | Ma, Jun |
作者单位 | 1.Lanzhou Univ Technol, Dept Phys, Lanzhou 730050, Peoples R China; 2.Chongqing Univ Posts & Telecommun, Sch Sci, Chongqing 430065, Peoples R China; 3.King Abdulaziz Univ, Dept Math, POB 80203, Jeddah 21589, Saudi Arabia |
第一作者单位 | 理学院 |
通讯作者单位 | 理学院 |
第一作者的第一单位 | 理学院 |
推荐引用方式 GB/T 7714 | Yao, Zhao,Zhou, Ping,Alsaedi, Ahmed,et al. Energy flow-guided synchronization between chaotic circuits[J]. Applied Mathematics and Computation,2020,374. |
APA | Yao, Zhao,Zhou, Ping,Alsaedi, Ahmed,&Ma, Jun.(2020).Energy flow-guided synchronization between chaotic circuits.Applied Mathematics and Computation,374. |
MLA | Yao, Zhao,et al."Energy flow-guided synchronization between chaotic circuits".Applied Mathematics and Computation 374(2020). |
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