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1.
Dynamics and intermittent stochastic stabilization of a rumor spreading model with guidance mechanism in heterogeneous network 下载免费PDF全文
Xiaojing Zhong 《中国物理 B》2022,31(4):40205-040205
We propose a novel rumor propagation model with guidance mechanism in heterogeneous complex networks. Firstly, the sharp threshold of rumor propagation, global stability of the information-equilibrium and information-prevailing-equilibrium under R0 <1 and R0> 1 is carried out by Lyapunov method and LaSalle's invariant principle. Next, we design an aperiodically intermittent stochastic stabilization method to suppress the rumor propagation. By using the Itô formula and exponential martingale inequality, the expression of the minimum control intensity is calculated. This method can effectively stabilize the rumor propagation by choosing a suitable perturb intensity and a perturb time ratio, while minimizing the control cost. Finally, numerical examples are given to illustrate the analysis and method of the paper. 相似文献
2.
利用Galerkin方法,研究了一类具有结构阻尼的kirchhoff型波动方程,方程是截面弹性杆运动的模型.通过各种不等式技巧及算子半群理论,证明了方程的解半群具有全局吸引子. 相似文献
3.
使用Galerkin方法,结合Sobolev空间理论和不等式技巧,给出了广义神经传播方程解的存在唯一性定理,然后利用吸引子存在性定理,采用半群方法证明了方程整体吸引子的存在性. 相似文献
4.
Instability of a black hole with f (R) global monopole under extended uncertainty principle 下载免费PDF全文
We consider the evolution of a black hole involving an f(R) global monopole based on the Extended Uncertainty Principle (EUP). The black hole evolutions refer to the instability due to the Parikh-Kraus-Wilczeck tunneling radiation or fragmentation. It is found that the EUP corrections make the entropy difference larger to encourage the black hole to radiate more significantly. We also show that the appearance of the EUP effects results in the black hole's division. The influence from the global monopole and the revision of general relativity can also adjust the black hole evolution simultaneously but cannot change the final result that the black hole will not be stable because of the EUP's effects. 相似文献
5.
本文考虑了受L\''evy噪声扰动的Logistic方程. 在合适的条件下, 我们得到了解的全局存在性与唯一性; 我们证明了当初始值小于环境的容纳量时, 唯一的正的平衡态具有全局吸引性. 相似文献
6.
以全球海洋潜水旅游目的地为研究对象, 借助地理信息系统(GIS), 运用基尼系数、层次分析法(AHP)等方法, 研究全球海洋潜水旅游目的地的分布特征及其自然影响因素. 结果显示: (1)全球海洋潜水旅游目的地的分布数量由低纬向高纬递减; 洲际分布呈现高度集中, 主要聚集区是东亚与东南亚、地中海-红海以及加勒比海沿岸, 太平洋、印度洋与大西洋为散点分布. (2)影响海洋潜水旅游目的地的自然因素主要为海洋地形、海水温度、陆地气温、洋流、潮汐、海水能见度、珊瑚礁等, 相关因素影响程度与广度因海域呈现地域综合导控, 使得海洋潜水旅游目的地主要聚集在热带海域等地. 相似文献
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8.
Brahim Alouini 《Mathematical Methods in the Applied Sciences》2021,44(1):91-103
In this article, we present, throughout two basic models of damped nonlinear Schrödinger (NLS)–type equations, a new idea to bound from above the fractal dimension of the global attractors for NLS‐type equations. This could answer the following open issue: consider, for instance, the classical one‐dimensional cubic nonlinear Schrödinger equation “How can we bound the fractal dimension of the associate global attractor without the need to assume that the external forcing term f has some decay at infinity (that is belonging to some weighted Lebesgue space)?” 相似文献
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10.
An extended improved global structure model for influential node identification in complex networks 下载免费PDF全文
Jing-Cheng Zhu 《中国物理 B》2022,31(6):68904-068904
Accurate identification of influential nodes facilitates the control of rumor propagation and interrupts the spread of computer viruses. Many classical approaches have been proposed by researchers regarding different aspects. To explore the impact of location information in depth, this paper proposes an improved global structure model to characterize the influence of nodes. The method considers both the node's self-information and the role of the location information of neighboring nodes. First, degree centrality of each node is calculated, and then degree value of each node is used to represent self-influence, and degree values of the neighbor layer nodes are divided by the power of the path length, which is path attenuation used to represent global influence. Finally, an extended improved global structure model that considers the nearest neighbor information after combining self-influence and global influence is proposed to identify influential nodes. In this paper, the propagation process of a real network is obtained by simulation with the SIR model, and the effectiveness of the proposed method is verified from two aspects of discrimination and accuracy. The experimental results show that the proposed method is more accurate in identifying influential nodes than other comparative methods with multiple networks. 相似文献