The percolation process via a sinusoidal probability modulation

机译：通过正弦概率调制的渗透过程

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How clusters are aggregated have great effect on the function and dynamic of complex network. In this paper, we introduce a percolation transition model which can be described with clusters aggregated probability P(C) ~ sin(αC/C), where C is the size of the cluster, C is the size of the largest cluster and α is disturbance parameter. In this article we introduce continuous, weakly and strongly discontinuous percolation transition underlying different α respectively and reveal the strongly impact of clusters' aggregated probability. By means of numerical simulation, we find that the critical point t shows periodic variation with increasing α. Besides, we realize that the largest gap is macroscopic when α >10.9π and the distribution of the cluster size at critical point meets the power laws which is the main feature of explosive percolation.

机译：群集的聚集方式对复杂网络的功能和动态性有很大影响。在本文中，我们介绍了一种渗流过渡模型，可以用聚类聚集概率P（C）〜sin（αC/ C）来描述，其中C是聚类的大小，C是最大聚类的大小，而α是干扰参数。在本文中，我们介绍了分别基于不同α的连续，弱和强不连续渗流过渡，并揭示了聚类聚集概率的强烈影响。通过数值模拟，我们发现临界点t随着α的增加呈现出周期性变化。此外，我们认识到，当α>10.9π时，最大间隙是宏观的，并且临界点处的团簇大小分布符合幂律，这是爆炸性渗流的主要特征。

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《2014 IEEE International Conference on Communication Problem-Solving》|2014年|528-531|共4页
会议地点 Beijing(CN)
作者
Chen Chui-bo; Li Zhi-peng; Yang Chun; Shi Xiao-hong; Chen Xiao-long; Yang Cheng-cheng;
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State Key Lab. of Complex Electromagn. Environ. Effects on Electron. Inf. Syst.(CEMEE), Luoyang, China;

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1. Large-$N$ Limit of Crossing Probabilities, Discontinuity, and Asymptotic Behavior of Threshold Values in Mandelbrot's Fractal Percolation Process [J] . Broman Erik I, Camia Federico Electronic Journal of Probability . 2008,第45a48期

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2. Attentional modulation of the nociceptive processing into the human brain: selective spatial attention, probability of stimulus occurrence, and target detection effects on laser evoked potentials. [J] . Legrain V, Guerit J, Bruyer R, Pain. . 2002,第1a2期

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3. Critical point and percolation probability in a long range site percolation model on Zd [J] . De Lima B.N.B., Sanchis R., Silva R.W.C. Stochastic Processes and Their Applications: An Official Journal of the Bernoulli Society for Mathematical Statistics and Probability . 2011,第9期

机译：Zd远程站点渗流模型中的临界点和渗流概率
4. The percolation process via a sinusoidal probability modulation [C] . Chen Chui-bo, Li Zhi-peng, Yang Chun, IEEE International Conference on Communication Problem-Solving . 2014

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5. Patterns of learning and generalization seen after training on sinusoidal-amplitude-modulation (SAM) rate-discrimination and SAM-detection tasks. [D] . Fitzgerald, Matthew Blair. 2005

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6. Transitional Probabilities Are Prioritized over Stimulus/Pattern Probabilities in Auditory Deviance Detection: Memory Basis for Predictive Sound Processing [O] . Maria Mittag, Rika Takegata, István Winkler 2016

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8. STEADY STATE RESPONSE OF NETWORKS TO SINUSOIDAL SIGNALS WITH SINUSOIDAL FREQUENCY MODULATION [R] . E. Weber 1955

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The percolation process via a sinusoidal probability modulation

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