Dynamic coupling in small-world outer synchronization of chaotic networks

Arellano-Delgado, Adrian; López-Gutiérrez, R.M.; Méndez-Ramírez, Rodrigo; Cardoza-Avendaño, L.; Cruz-Hernández, C.

doi:10.1016/j.physd.2021.132928

Cited by 9 publications

(10 citation statements)

References 23 publications

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“…There are two main variants to couple systems (in order to achieve synchronization or even the generation of some other emergent behaviors), one of them is direct coupling, see [8], that is achieved by communicate the systems through sharing information directly among their own variables. On the other hand, we have the indirect coupling type; see for example [9,10], which is achieved using an intermediary system to send information among the involved systems, that as presented in these works, synchronization using an intermediary system is enhanced compared to a conventional coupling.…”

Section: Introductionmentioning

confidence: 99%

Enhancing the emergence of hyperchaos using an indirect coupling and its verification based on digital implementation

et al. 2023

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In this work, an indirect coupling used in a pair of simple autonomous discrete systems in order to enhance the emergence of hyperchaos is presented. The peculiarity that the used systems will never generate chaotic or hyperchaotic dynamics by itself makes this case an interesting problem to address. Moreover, it is possible to achieve inphase or anti-phase synchronization by varying some parameters of the indirect coupling. Additionally, different methods to analyze the emerging dynamics of the coupled systems using an indirect coupling compared to a conventional coupling are presented. Finally, an electronic digital implementation is conducted by using the SPI protocol of two coupled PIC-24FJ64GA006 16-bit Microcontrollers.

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Section: Introductionmentioning

confidence: 99%

Enhancing the emergence of hyperchaos using an indirect coupling and its verification based on digital implementation

et al. 2023

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“…In addition, synchronization occurs constantly in both nature and human existence. The literature [1][2][3] provides some instances of synchronous motion that are seen in real-world systems. In the literature, authors have studied a number of synchronization types, including complete synchronization [4], lag synchronization [5], asymptotic synchronization [6], projective synchronization [7], etc.…”

Section: Introductionmentioning

confidence: 99%

Passivity Analysis and Complete Synchronization of Fractional Order for Both Delayed and Non-Delayed Complex Dynamical Networks with Couplings in the Derivative

Aadhithiyan

Raja

Alzabut

et al. 2023

Axioms

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This manuscript explores the analysis of passivity and synchronization criteria for a complex fractional-order dynamical network model with derivative couplings and time-varying delays. The passivity problem of the proposed network model is deduced using various inequality methods and presented as a linear matrix inequality. To ensure complete synchronization for a fractional-order complex dynamical network with derivative couplings (CDNMDC), we derive suitable criteria using an adaptive feedback control method. Additionally, we investigate the synchronization criterion of these complex networks while accounting for parameter uncertainties. Finally, we provide an example to demonstrate the effectiveness of the proposed solutions.

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“…These concepts apply to any network with two or more nodes, such as social networks [ 1 , 2 ], transportation networks [ 3 , 4 ], biological networks [ 5 , 6 ], and neural networks [ 7 ]. In a complex network, nodes can be directly coupled with each other, or they can be linked through intermediary systems [ 8 ]. These intermediary systems are dynamic systems that decouple the direct interaction between two or more nodes, and they can be chosen based on the specific application to be implemented.…”

Section: Introductionmentioning

confidence: 99%

“…Chaotic systems are characterized by their sensitivity to initial conditions, meaning that a small change in the initial conditions of the system can result in a significantly different output [ 14 ]. The study in [ 15 ] deals with the coupling of hyperchaotic systems through an intermediary dynamic system, in [ 8 ] the coupling of small-world networks through intermediary dynamic systems is presented, and in [ 16 ] the enhancing of hyperchaotic dynamics generated by coupling two discrete periodic systems is addressed.…”

Section: Introductionmentioning

confidence: 99%

Exploring the Role of Indirect Coupling in Complex Networks: The Emergence of Chaos and Entropy in Fractional Discrete Nodes

Zambrano-Serrano

Platas-Garza

Posadas–Castillo

et al. 2023

Entropy

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Understanding the dynamics of complex systems defined in the sense of Caputo, such as fractional differences, is crucial for predicting their behavior and improving their functionality. In this paper, the emergence of chaos in complex dynamical networks with indirect coupling and discrete systems, both utilizing fractional order, is presented. The study employs indirect coupling to produce complex dynamics in the network, where the connection between the nodes occurs through intermediate fractional order nodes. The temporal series, phase planes, bifurcation diagrams, and Lyapunov exponent are considered to analyze the inherent dynamics of the network. Analyzing the spectral entropy of the chaotic series generated, the complexity of the network is quantified. As a final step, we demonstrate the feasibility of implementing the complex network. It is implemented on a field-programmable gate array (FPGA), which confirms its hardware realizability.

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Dynamic coupling in small-world outer synchronization of chaotic networks

Cited by 9 publications

References 23 publications

Enhancing the emergence of hyperchaos using an indirect coupling and its verification based on digital implementation

Enhancing the emergence of hyperchaos using an indirect coupling and its verification based on digital implementation

Passivity Analysis and Complete Synchronization of Fractional Order for Both Delayed and Non-Delayed Complex Dynamical Networks with Couplings in the Derivative

Exploring the Role of Indirect Coupling in Complex Networks: The Emergence of Chaos and Entropy in Fractional Discrete Nodes

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