Synchronization in Multiplex Networks of Chua’s Circuits: Theory and Experiments

Burbano-L Daniel Alberto; Yaghouti Soudeh; Petrarca Carlo; de Magistris Massimiliano; di Bernardo Mario

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Synchronization in Multiplex Networks of Chua’s Circuits: Theory and Experiments

机译：CHUA电路多路复用网络中的同步：理论与实验

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In many natural and man-made networks, nodes communicate with each other through different types of interconnections giving rise to so-called multiplex networks. In this paper, we study the interplay between synchronous steady state solutions and the topology of multiplex networks of Chua's circuits. In particular, we consider all circuits to be simultaneously interconnected through a network of resistors (static diffusive coupling) and a network of capacitors (dynamic diffusive coupling) each with its own structure. We find that the presence of dynamic links and the structure of the multiplex network affect the stability of the emerging synchronous solutions. Theoretical results are discussed and validated using a dedicated experimental set-up.

机译：在许多自然和人为网络中，节点通过不同类型的互连互联通信，从而产生所谓的多路复用网络。在本文中，我们研究了Chua电路的同步稳态解决方案与多路复用网络拓扑之间的相互作用。特别地，我们考虑所有电路通过电阻器（静态扩散耦合）和电容器网络（动态扩散耦合）的网络同时互连，每个电路都具有自己的结构。我们发现，动态链路的存在和多路复用网络的结构影响了新兴同步解决方案的稳定性。使用专用的实验设置讨论和验证了理论结果。

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《Circuits and Systems I: Regular Papers, IEEE Transactions on》 |2020年第3期|927-938|共12页
作者
Burbano-L Daniel Alberto; Yaghouti Soudeh; Petrarca Carlo; de Magistris Massimiliano; di Bernardo Mario;
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作者单位

NYU Dept Mech & Aerosp Engn New York NY 11201 USA;

Univ Naples Federico II Dept Elect Engn & Informat Technol I-80125 Naples Italy;

Univ Naples Federico II Dept Elect Engn & Informat Technol I-80125 Naples Italy;

Univ Naples Federico II Dept Elect Engn & Informat Technol I-80125 Naples Italy|Univ Bristol Dept Engn Math Bristol BS8 1TH Avon England;

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正文语种 eng
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关键词
Synchronization; master stability function; Chua's circuit; multiplex networks;

机译：同步;主稳定功能;Chua的电路;多路复用网络;

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2. Experimental realization of synchronization in complex networks with Chua’s circuits like nodes [J] . C. Posadas-Castillo, C. Cruz-Hernandez, R.M. Lopez-Gutierrez Chaos, Solitons and Fractals: Applications in Science and Engineering: An Interdisciplinary Journal of Nonlinear Science . 2009,第4期

机译：利用Chua的电路（例如节点）在复杂网络中实现同步的实验性实现
3. Multiplexing chaotic signals generated by Colpitts oscillator and Chua circuit using dual synchronization [J] . Shi ZG, Ran LX, Chen KS Chinese physics letters . 2005,第6期

机译：使用双同步多路复用由Colpitts振荡器和Chua电路产生的混沌信号
4. Synchronization of networks of non-identical Chua circuits: Analysis and experiments [C] . de Magistris Massimiliano, di Bernardo Mario, Di Tucci Edmondo, 2011 IEEE International Symposium on Circuits and Systems . 2011

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5. Exploring Multiplexity with Evolutionary Game Theory and Complex Networks [D] . Khoo, Tommy. 2018

机译：与进化博弈论和复杂网络探索多路复用
6. Welcome to Neural Systems and Circuits: bridging the gap between theory and experiment [O] . Peter E Latham, Venkatesh N Murthy 2011

机译：欢迎来到神经系统与电路：弥合理论与实验之间的鸿沟
7. Anticipating, Complete and Lag Synchronizations in RC Phase-Shift Network Based Coupled Chua's Circuits without Delay [O] . Srinivasan, K., Senthilkumar, D. V., Mohamed, I. Raja, 2012

机译：RC相移中的预期，完全和滞后同步基于网络的耦合Chua电路无延迟

Synchronization in Multiplex Networks of Chua’s Circuits: Theory and Experiments

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