论文标题
累积损伤对库拉莫托振荡器同步网络同步的影响
Influence of cumulative damage on synchronization of Kuramoto oscillators on networks
论文作者
论文摘要
在本文中，我们研究了在网络边缘的累积随机损害下，相同的库拉莫托相振荡器的同步。我们分析耦合振荡器从初始随机相处达到连贯状态的能力。同步过程是由系统执行的全局函数，该系统在损坏削弱网络的各个连接时会逐渐改变。我们探索以不同拓扑为特征的各种结构。其中包括确定性网络作为车轮或由骑士在国际象棋板上的运动形成的晶格，以及由Erdős-rényi和Barabási-Albert算法产生的随机网络。此外，我们研究了带有六个节点的109个非同形图的同步时间。同步时间和其他引入的数量对损害的影响很敏感，从而使我们能够衡量同步能力的降低，并对正在研究的系统中损害的影响进行分类。这种方法是一般的，为探索复杂系统中各种动力学过程中损害积累的影响铺平了道路。
In this paper, we study the synchronization of identical Kuramoto phase oscillators under cumulative stochastic damage to the edges of networks. We analyze the capacity of coupled oscillators to reach a coherent state from initial random phases. The process of synchronization is a global function performed by a system that gradually changes when the damage weakens individual connections of the network. We explore diverse structures characterized by different topologies. Among these are deterministic networks as a wheel or the lattice formed by the movements of the knight on a chess board, and random networks generated with the Erdős-Rényi and Barabási-Albert algorithms. In addition, we study the synchronization times of 109 non-isomorphic graphs with six nodes. The synchronization times and other introduced quantities are sensitive to the impact of damage, allowing us to measure the reduction of the capacity of synchronization and classify the effect of damage in the systems under study. This approach is general and paves the way for the exploration of the effect of damage accumulation in diverse dynamical processes in complex systems.
