Some epidemic spreading models are usually applied to analyze the propagation of opinions or news. However, dynamics and information behavior essentially different in many aspects. Centola's experiments [Science 329, 1194 (2010)] on online social networks showed that is faster broader regular than random networks. This result contradicts with former understanding preferable for To describe networks, a unknown-known-approved-exhausted four-status model was proposed, which emphasizes effect...

In this paper, we investigate the collective synchronization of system coupled oscillators on Barab\'{a}si-Albert scale-free network. We propose an approach structural perturbations aiming at those nodes with maximal betweenness. This method can markedly enhance network synchronizability, and is easy to be realized. The simulation results show that eigenratio will sharply decrease its half when only 0.6% hub are under 3-division processes size N=2000. addition, present study also provides a...

Normal functioning in many realistic complex dynamical systems, such as neural networks, requires coherence and synchronization for collective actions of network components. However, strong the whole is often related to pathological situations. A regime between enabling both segregation subsystems integration a thus desirable. Here, we characterize this by complexity patterns study its relationship heterogeneous modular architecture oscillators. We show that these networks possess broad...

In this Brief Report, we propose a network model named crossed double cycles, which are completely symmetrical and can be considered as the extensions of nearest-neighboring lattices. The synchronizability, measured by eigenratio $R$, sharply enhanced adjusting only parameter, length $m$. $R$ is shown very sensitive to average distance $L$, smaller will lead better synchronizability. Furthermore, find that, in wide interval, approximately obeys power-law form $R\ensuremath{\sim}{L}^{1.5}$.

We consider the effect of clustering coefficient on synchronizability coupled oscillators located scale-free networks. The analytic result for value aiming at a highly clustered network model, Holme–Kim model is obtained, and relationship between reported. simulation results strongly suggest that more network, poorer synchronizability.

In this paper, to study the interaction between network structure and dynamical property in context of synchronization, a previously proposed adaptive coupling method is generalized where strength node from its neighbors not only develops adaptively according local synchronization (dynamical part) but also modulated by structure, degree with form $1/{k}_{i}^{\ensuremath{\alpha}}$ (topological part). We can show both numerically analytically that input after adaptation displays power-law...

Abstract The study of recurrent epidemic outbreaks has been attracting great attention for decades, but its underlying mechanism is still under debate. Based on a large number real data from different cities, we find that besides the seasonal periodic influenza, there are also non-periodic outbreaks, i.e. non-seasonal or non-annual behaviors. To understand how non-periodicity shows up, present network model SIRS with both time-dependent infection rate and small possibility persistent seeds,...

In this paper the effects of inter-community links on synchronization performance community networks, especially competition between individual and whole network, are studied in detail. The study is organized from two aspects: number or portion connection strategy different communities. A critical point found global network Increasing will enhance synchronizability but degrade before point. After that synchronize better as part because structure not so prominent. represents a balance region...

In this paper, the accumulated payoff of each agent is regulated so as to reduce heterogeneity distribution all such payoffs. It found that there exists an optimal regulation strength at which cooperation in prisoner's dilemma game optimally promoted. If be either too weak or strong, promotive effect disappears and evolution may even impaired if compared absence proposed regulatory mechanism. An explanation observed results provided. particular, it cooperators on spatial grid are not...

Epidemic spreading has been studied for a long time and most of them are focused on the growing aspect single epidemic outbreak. Recently, we extended study to case recurrent epidemics (Sci. Rep. {\bf 5}, 16010 (2015)) but limited only network. We here report from real data coupled regions or cities that in two networks closely related each other can show either synchronized outbreak phase where outbreaks occur simultaneously both mixed one network do not another one. To reveal underlying...

In this Brief Report, we study the synchronization of growing scale-free networks. An asymmetrical age-based coupling method is proposed with only one free parameter alpha . Although matrix asymmetric, our could guarantee that all eigenvalues are non-negative reals. The eigenratio R will approach 1 in large limit

The study of network synchronization has attracted increasing attentionrecently. In this paper, we strictly define a class networks, namely effective which are synchronizable and orientable networks. We can prove that all the networks with same size have spectra, best synchronizability according to master stability analysis. However, it is found time for different be quite different. Further analysis shows key ingredient affecting maximal depth an network: larger results in longer time....

Most previous studies on the synchronization of complex networks were based that each node managed to adjust its neighbors coupling strength enhance synchronizability, i.e. tried total input in a proper way and neighbor nodes passively adjusted. From practical engineering viewpoints, should manage output realize synchronization. Moreover, node's can be distributed with different proportions. In view above reasons, this paper, we study under assumptions is voluntarily/directly What more,...