Synchronization of Chaotic Circuits with Stochastically-Coupled Network Topology

Abstract

In recent years, research on synchronization between coupled chaotic circuits has attracted interest in a wide range of fields. This is because the synchronization of coupled chaotic circuits is a multidisciplinary phenomenon that occurs in various applications, such as broadband communication systems or secure communication. In this study, we propose a coupled chaotic circuit network model with stochastic couplings. We investigate the synchronization phenomena observed for the proposed network using different network structures such as fully-coupled, random, small world and scale-free networks. We find that the same synchronization characteristics can be obtained for these networks with a dynamic topology as when the coupling strength is changed in static networks.

Synchronization Mechanism for Controlled Complex Networks under Auxiliary Effect of Dynamic Edges

“…Some scholars have explored what conditions of the adjacency matrix (topology) of CDNs are most beneficial for synchronization to occur. For example, the mathematical expressions of the occurrence of synchronization phenomena have been derived under constant topologies [4][5][6][7], switching topologies [8][9][10][11], and random topologies [12][13][14]. In Refs.…”

“…In Refs. [12][13][14], the connection or disconnection between nodes followed a given random probability distribution; therefore, exploring the network size and information dissemination patterns can help realize synchronization in such a scenario. Another group of scholars has utilized optimization methods and models of CDNs to seek an optimal topology that can promote synchronization [15][16][17].…”

“…By analyzing the literature, the following two noticeable gaps emerge: (1) In the existing research on CDN synchronization control, the synchronization mechanism of CDNs with dynamic edges is largely ignored [4][5][6][7][8][9][10][11][12][13][14][15][16][17]. This neglect is reflected not only in the dynamic edges' characteristics but also in the impact of edges on node states.…”

Characterization of second-order chaotic circuits with heterogeneous memristors

“…Since the memristor makes the design of chaotic circuits more flexible and convenient, many chaotic memristor circuits have been designed, mainly classified into chaotic memristor circuits with inductors and chaotic memristor circuits without inductors [7]- [9]. These two types of chaotic circuits have their advantages and disadvantages, but both provide a broader space for the design of chaotic memristor circuits and bring new prospects for further research in the future [10].…”