Complex Function Projective Synchronization in Fractional-Order Complex Networks and Its Application in Fractal Pattern Recognition

Lin, Xianke; Zhou, Shangbo; Sun, Lihui; Wu, Yali

doi:10.1142/s0219525919500103

Cited by 2 publications

(2 citation statements)

References 27 publications

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“…In terms of studying key nodes in the network, Liu [35] defined node importance by four dimensions: local properties, global properties, propagation properties, and network position. Wang [50] pointed out the characteristics and application scope of these four indicators. When [51] conducted node importance analysis, Schick not only considered node connectivity and centrality but also added social functions characterized by indicators such as node population size and reproductive rate to quantify the node's conservation value from a social perspective.…”

Section: Node Importance Evaluation Indexmentioning

confidence: 99%

The Impact of Large-Scale Water Diversion Projects on the Water Supply Network: A Case Study in Southwest China

Song,

Jiang,

Wang

et al. 2024

Water

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The uneven spatial and temporal distribution of water resources has consistently been one of the most significant limiting factors for social development in many regions. Furthermore, with the intensification of climate change, this inequality is progressively widening, posing a critical challenge to the sustainable development of human societies. The construction of large-scale water projects has become one of the crucial means to address the contradictions between water supply and demand. Thus, evaluating the functional aspects of water source network structures and systematically planning the layout of engineering measures in a scientifically reasonable manner are pressing issues that require urgent attention in current research efforts. Addressing this, our study takes the Erhai Lake basin and the surrounding areas in southwest China as the study area and combines landscape ecology and network analysis theory methods to propose a water supply network analysis method that takes into account both structure and node characteristics. Based on this methodology, we analyze the connectivity characteristics of water supply networks in the Erhai region under current (2020) and future (2035) planning scenarios. The results show that there were 215 nodes and 216 links in the water supply network of the Erhai Lake basin in 2020; with the implementation of a series of water conservancy projects, the planned 2035 water supply network will increase by 122 nodes and 163 links, and the connectivity of the regional water network will be significantly improved. Also, we identify some key nodes in the network, and the results show that the water supply network in 2035 will have obvious decentralization characteristics compared with that in 2020. And, based on the network degradation analysis, we find that with the implementation of engineering measures, the resilience of the water supply network will be significantly strengthened by 2035, with stronger risk tolerance. This study extends the quantitative representation of water source network characteristics, which can provide a useful reference for water network structure planning and optimization.

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Section: Node Importance Evaluation Indexmentioning

confidence: 99%

The Impact of Large-Scale Water Diversion Projects on the Water Supply Network: A Case Study in Southwest China

Song,

Jiang,

Wang

et al. 2024

Water

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“…Reference [10] presented an adaptive projective pinning control method for a fractionalorder complex network. Reference [25] proposed a complex projection synchronization with different coefficients in + N 1 networks.…”

Section: Introductionmentioning

confidence: 99%

Combination projection synchronization of fractional-order complex dynamic networks with time-varying delay couplings and disturbances

Fang¹,

Wei²,

Yin³

et al. 2022

Commun. Theor. Phys.

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In this paper, the problem of combination projection synchronization of fractional-order complex dynamic networks with time-varying delay couplings and external interferences is studied. Firstly, the definition of combination projection synchronization of fractional-order complex dynamic networks is given, and the synchronization problem of the drive-response systems is transformed into the stability problem of the error system. In addition, time-varying delays and disturbances are taken into consideration to make the network synchronization more practical and universal. Then, based on Lyapunov stability theory and fractional inequality theory, the adaptive controller is formulated to make the drive and response systems synchronization by the scaling factors. The controller is easier to realize because there is no time-delay term in the controller. At last, the corresponding simulation examples demonstrate the effectiveness of the proposed scheme.

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Complex Function Projective Synchronization in Fractional-Order Complex Networks and Its Application in Fractal Pattern Recognition

Cited by 2 publications

References 27 publications

The Impact of Large-Scale Water Diversion Projects on the Water Supply Network: A Case Study in Southwest China

The Impact of Large-Scale Water Diversion Projects on the Water Supply Network: A Case Study in Southwest China

Combination projection synchronization of fractional-order complex dynamic networks with time-varying delay couplings and disturbances

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