Faculty of Education, Kagawa University, Takamatsu 760-8521, Japan.
Phys Rev Lett. 2012 Nov 16;109(20):208702. doi: 10.1103/PhysRevLett.109.208702. Epub 2012 Nov 12.
Co-evolution exhibited by a network system, involving the intricate interplay between the dynamics of the network itself and the subsystems connected by it, is a key concept for understanding the self-organized, flexible nature of real-world network systems. We propose a simple model of such coevolving network dynamics, in which the diffusion of a resource over a weighted network and the resource-driven evolution of the link weights occur simultaneously. We demonstrate that, under feasible conditions, the network robustly acquires scale-free characteristics in the asymptotic state. Interestingly, in the case that the system includes dissipation, it asymptotically realizes a dynamical phase characterized by an organized scale-free network, in which the ranking of each node with respect to the quantity of the resource possessed thereby changes ceaselessly. Our model offers a unified framework for understanding some real-world diffusion-driven network systems of diverse types.
网络系统的共同进化表现为网络本身的动态与通过它连接的子系统之间的复杂相互作用，这是理解现实世界网络系统自组织、灵活性质的关键概念。我们提出了一个简单的共同进化网络动态模型，其中资源在加权网络上的扩散和链接权重的资源驱动演化同时发生。我们证明，在可行条件下，网络在渐近状态下稳健地获得无标度特征。有趣的是，在系统包括耗散的情况下，它渐近地实现了一个以有组织的无标度网络为特征的动力相，其中每个节点相对于所拥有资源数量的排名不断变化。我们的模型为理解各种类型的一些现实世界的扩散驱动网络系统提供了一个统一的框架。
