Many real systems possess accelerating statistics where the total number of edges grows faster than the number of nodes and the growth is nonlinear.In this paper,we present a novel weighted network model with accelerating growth.Moreover,in contrast with previous models where weights are assigned statically or rearranged locally,we allow the flows to be widely updated.This model gives power-law distributions of degree,weight and strength,as confirmed in many real networks.Particularly,the exponents are nonuniversal and depend on two network parameters.And it shows that the droop-head and heavy-tail properties of these distributions,which are observed in many real-world networks,can be reflected by this new network model.It turns out that the strength highly correlates with the degree and displays scale-free property,which is in consistence with empirical evidence.Simulations are provided to demonstrate the theoretical results.……

[关键词]：**Weighted evolving network**;**Widely weighted dynamics**;**Accelerating network**;**Power-law distributions**

[文献类型]：会议论文

[文献出处]： 《第十三届全国非线性振动暨第十届全国非线性动力学和运动稳定性学术会议摘要集2011年 》

[文献类型]：会议论文

[文献出处]： 《第十三届全国非线性振动暨第十届全国非线性动力学和运动稳定性学术会议摘要集2011年 》

- 期刊 | 等重复数据的非线性加权回归
- 论文 | 加权Besov空间上离散的Carleson测度
- 会议 | Weighted Scale-free Network with Widely Weighted Dynamics