Exact calculations of network coherence in weighted ring-trees networks and recursive trees

Jing, Ting; Yang, Lei; Sun, Weigang

doi:10.1088/1402-4896/ac0277

Cited by 14 publications

(4 citation statements)

References 22 publications

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“…Subsequently, additional studies have delved into the analysis of network coherence in deterministic networks. These studies have explored aspects such as introducing weighted factors, scale-free loop structures, multi-layer networks, asymmetric networks, and optimization techniques [10][11][12][13][14][15][16] and many references cited therein. Furthermore, the calculation of network coherence can be achieved through the global mean first passage time of a random walk [17,18].…”

Section: Introductionmentioning

confidence: 99%

Consensus analysis of chain star networks coupled by leaf nodes

Chen,

Zhou,

Sun

2023

Phys. Scr.

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Coupled star networks coupled by hub nodes have attracted signiﬁcant interest due to the interplay between their coupling forms and dynamics. This paper introduces a novel family of chain star networks that are connected via a small number of leaf nodes. The coherence of these star networks is quantiﬁed using the Laplacian spectrum. By leveraging the network structures, we calculate the characteristic polynomial of the Laplacian matrix and obtain an exact solution for network coherence in relation to network parameters. In addition, we explore the robustness of network coherence against variations in network parameters. Furthermore, we compare the coherence performance of coupled star networks across diﬀerent coupling forms. Our ﬁndings demonstrate that the networks coupled by leaf nodes exhibit better coherence.

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Section: Introductionmentioning

confidence: 99%

Consensus analysis of chain star networks coupled by leaf nodes

Chen,

Zhou,

Sun

2023

Phys. Scr.

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“…The concept of network coherence [1] was introduced to characterize coupled system resistance to noise. In this method, coherence is a measurement of the deviation of each node's state from the average current state and it was proved that it is determined by the Laplacian spectrum [4][5][6] of the underlying network. Therefore, interplays between the network's structural properties and the system robustness to external disturbances [7,8] can be investigated.…”

Section: Introductionmentioning

confidence: 99%

Topology design for leader-follower coherence in noisy asymmetric networks

Chen¹,

Sun²,

Wang³

2022

Phys. Scr.

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In this paper, we aim to study the effect of the leader's positions in leader-follower coherence quantified by the spectrum in noisy asymmetric networks with a set of hub nodes. In order to compare the impact of leader selection in different ways on the studied coherence, we choose a family of ring-trees networks to conveniently assign the leaders and hubs. Based on the regular network topology and matrix theories, we obtain analytical solutions for the leader-follower coherence regarding network parameters and the number of leaders. Using these expressions, we then obtain exact relations among the coherences and show that the leader's positions and network parameters have a profound impact on the coherence. More specifically, the network with one hub displays better coherence than the networks with two hubs. In addition, two adjacent and nonadjacent hubs lead to distinct performance of leader-follower consensus dynamics that depends on network parameters and assigned leaders in the ring or the tree network.

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“…Scholars take common networks topology as the main research object, and have achieved abundant theoretical results [8][9][10][11][12][13][14][15][16]. Y. Yi et al took Koch Network as the research object to study the first-order coherence of Koch network with leaderless and one leader [8].…”

Section: Introductionmentioning

confidence: 99%

“…X. Wang et al obtained the first-order coherence of 5-rose network and further analyzed the relationships between the first-order coherence and the number of nodes [13]. T. Jing et al studied the first-order coherence of ring-trees networks and recursive trees, and found that the first-order coherence of ring-trees networks are better than that of recursive trees [16].…”

Section: Introductionmentioning

confidence: 99%

Coherence Analysis of Symmetric Star Topology Networks

Gao¹,

Zhu

Chen

et al. 2022

Front. Phys.

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The dynamics of complex networks are closely related to the topological structure. As an important research branch, the problem of network consensus has attracted more attention. In this paper, the first-order coherence of three kinds of symmetric star topology networks are studied by using the theory of network science. Firstly, three kinds of symmetric star topology network models are given. Secondly, the first-order coherence of these networks are calculated by using matrix theory. The relationships among the first-order coherence of the network and branch length and the number of branches change are obtained by numerical simulation. Finally, we found that the third network has the best consensus, and the change of branch length has more effective impact on network consensus.

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Exact calculations of network coherence in weighted ring-trees networks and recursive trees

Cited by 14 publications

References 22 publications

Consensus analysis of chain star networks coupled by leaf nodes

Consensus analysis of chain star networks coupled by leaf nodes

Topology design for leader-follower coherence in noisy asymmetric networks

Coherence Analysis of Symmetric Star Topology Networks

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