Eigenvector-based analysis of cluster synchronization in general complex networks of coupled chaotic oscillators

Fan, Huawei; Wang, Ya; Wang, Xingang

doi:10.1007/s11467-023-1324-0

Cited by 4 publications

(1 citation statement)

References 75 publications

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“…Determining all the symmetries in the graph of a network with complex topology can be quite involved, which leads us to use networks with regular topologies. However, more flexible network design methods [44,45] having no dependency on topological symmetries can be used to overcome this limitation. One important direction of further research is to determine the symbol capacity of large networks to allow M-ary communication with large M. On the other hand, as the number of nodes in the network increases, additional concerns affecting the communication performance may arise.…”

Section: Discussionmentioning

confidence: 99%

Cluster shift keying: covert transmission of information via cluster synchronization in chaotic networks

Sarı,

Günel

2024

Phys. Scr.

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A network of chaotic systems can be designed in such a way that the cluster patterns formed by synchronous nodes can be controlled through the coupling parameters. We present a novel approach to exploit such a network for covert communication purposes, where controlled clusters encode the symbols spatio-temporally. The cluster synchronization network is divided into two subnetworks as transmitter and receiver. First, we specifically design the network whose controlled parameters reside in the transmitter. Second, we ensure that the nodes of the links connecting the transmitter and receiver are not in the same clusters for all the control parameters. The former condition ensures that the control parameters changed at the transmitter change the whole clustering scheme. The second condition enforces the transmitted signals are always continuous and chaotic. Hence, the transmitted signals are not modulated by the information directly, but distributed over the links connecting the subnetworks. The information cannot be deciphered by eavesdropping on the channel links without knowing the network topology. The performance has been assessed by extensive simulations of bit error rates under noisy channel conditions.

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Section: Discussionmentioning

confidence: 99%

Cluster shift keying: covert transmission of information via cluster synchronization in chaotic networks

Sarı,

Günel

2024

Phys. Scr.

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Physical mechanisms of human brain functions

Liu

2024

Quant. Biol.

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In recent years, exploring the physical mechanisms of brain functions has been a hot topic in the fields of nonlinear dynamics and complex networks, and many important achievements have been made, mainly based on the characteristic features of time series of human brain. To speed up the further study of this problem, herein we make a brief review on these important achievements, which includes the aspects of explaining: (i) the mechanism of brain rhythms by network synchronization, (ii) the mechanism of unihemispheric sleep by chimera states, (iii) the fundamental difference between the structural and functional brain networks by remote synchronization, (iv) the mechanism of stronger detection ability of human brain to weak signals by remote firing propagation, and (v) the mechanism of dementia patterns by eigen‐microstate analysis. As a brief review, we will mainly focus on the aspects of basic ideas, research histories, and key results but ignore the tedious mathematical derivations. Moreover, some outlooks will be discussed for future studies.

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