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

Burbano-L., Daniel A.; Yaghouti, Soudeh; Petrarca, C.; Magistris, M. de; Bernardo, Mario di

doi:10.1109/tcsi.2019.2955972

Cited by 22 publications

(6 citation statements)

References 35 publications

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“…Theorem 2: Under the Assumptions 1-3, the synchronization of the multiplex networks with stochastic perturbations via aperiodically adaptive intermittent pinning controller (19) can be realized, if…”

Section: B the Synchronization Of Mns With An Adaptive Intermittent P...mentioning

confidence: 99%

“…For example, in transportation networks, there may be roads, railways, and air routes among cities, in the social networks, people exchange information with each other in many different ways, such as WeChat, QQ, Facebook, E-mail, etc. Such a type of CNs with multi-links have many names, for example, multiplex networks (MNs) [18][19][20], multilayer networks [21][22][23], multiweighted networks (MWNs) [24][25][26], etc. In recent years, the study of multiplex networks has been a hot topic because of having many applications in some fields.…”

Section: Introductionmentioning

confidence: 99%

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Synchronization of Multiplex Networks With Stochastic Perturbations via Intermittent Control

Liang,

Wang,

Deng

et al. 2024

IEEE Access

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This paper investigates the synchronization problem for multiplex networks with the stochastic perturbations via intermittent control. In the control schemes, the topologies of different layers of multiplex networks can be different, the control strategy adopts aperiodically intermittent and pinning control methods, and the number of pinned nodes can be different in different layers. Based on the stochastic theory and the Lyapunov stability theory, linear feedback and adaptive controllers are constructed respectively, some sufficient conditions are derived for guaranteeing synchronization of multiplex networks. Furthermore, for the different connectivity of multiplex networks, the conditions for achieving synchronization are discussed. Finally, two numerical simulations are provided to verify the theoretical results.

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Section: B the Synchronization Of Mns With An Adaptive Intermittent P...mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Synchronization of Multiplex Networks With Stochastic Perturbations via Intermittent Control

Liang,

Wang,

Deng

et al. 2024

IEEE Access

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“…In another study [43], iter-layer synchronization of a two-layer network of electronic circuits is explored using experiments and the MSF method. The multiplex network of Chus's circuits was also investigated in [44], considering both resistors and capacitors as static and dynamic diffusive couplings. This paper investigates the synchronization of two coupled dissipative Nosé-Hoover (DNH) systems in both experimental and analytical approaches.…”

Section: Introductionmentioning

confidence: 99%

Synchronization of Dissipative Nose–Hoover Systems: Circuit Implementation

Lu,

Natiq,

Ali

et al. 2023

RADIOENGINEERING

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The synchronization of dynamical systems has been extensively studied across various scientific disciplines, including secure communication, providing insights into the collective behavior of complex systems. This paper investigated the synchronization of diffusively coupled dissipative Nosé-Hoover (DNH) systems analytically and experimentally. This system exhibits a variety of fascinating dynamical phenomena, including multistable or monostable chaotic solutions and attractive torus. The DNH circuit is implemented in OrCAD-PSpice, focusing on chaotic dynamics. The DNH system is thus said to be diffusively coupled by considering a passive resistor to link the corresponding states of two DNH circuits. The coupling scheme and strength (resistor value) under which two circuits can be synchronized are attained using the master stability function method and are then confirmed by computing the synchronization error. The correlation of coupled circuits' outputs (time evolutions) demonstrates complete synchronization, which is consistent with the analytical and experimental results.

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“…Complex networks have received extensive attention because of their wide applications in physics, biological networks, information science, and so on. [1][2][3][4][5] Synchronization is a typical collective behavior on complex networks, which has attracted great interest in many scientific fields. [6][7][8][9] As a special pattern of synchronization on complex networks, successive lag synchronization (SLS) was introduced by Li et al for the first time, 10 which is a generalized form of the lag synchronization (LS).…”

Section: Introductionmentioning

confidence: 99%

“…Complex networks have received extensive attention because of their wide applications in physics, biological networks, information science, and so on 1‐5 . Synchronization is a typical collective behavior on complex networks, which has attracted great interest in many scientific fields 6‐9 .…”

Section: Introductionmentioning

confidence: 99%

Successive lag synchronization of nonlinear stochastic networks with arbitrary structure via pinning control

Wang

et al. 2022

Intl J Robust & Nonlinear

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In this article, a new nonlinear stochastic network with arbitrary structure and noise is proposed for realizing the successive lag synchronization (SLS).Both the constant and adaptive pinning control laws are designed respectively to regulate the SLS to desired chaotic states, where the network structure can be directed, weighted, time-varying and even not strongly connected. Several sufficient conditions for guaranteeing the stochastic asymptotic stability of SLS are derived by means of the Lyapunov stability theory. First, we demonstrate that the pinned nodes can be fixed via 1-dimensional inequalities, which explicitly provide how many nodes and which nodes should be controlled. Besides, those connections from a node with a given number to other nodes with smaller numbers will lead to the increase of pinned nodes. Second, our results indicate that, in order to make the SLS stable the coupling strength must belong to a bounded interval for both the pinning control schemes. Finally, we conclude that strong noise perturbation will lead to the increase of pinned nodes and even break the SLS. The theoretical results are validated with different numerical examples by embedding the chaotic Chua's circuit to each node.

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

Cited by 22 publications

References 35 publications

Synchronization of Multiplex Networks With Stochastic Perturbations via Intermittent Control

Synchronization of Multiplex Networks With Stochastic Perturbations via Intermittent Control

Synchronization of Dissipative Nose–Hoover Systems: Circuit Implementation

Successive lag synchronization of nonlinear stochastic networks with arbitrary structure via pinning control

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