一个受挫折的移动代理网络中依赖距离的竞争交互
Distance dependent competitive interactions in a frustrated network of mobile agents
摘要：
在复杂网络结构之上相互作用的动力系统中，出现了不同的集体动力学。沿着这条研究路线，时态网络已经成为最有前途的网络平台之一。特别是，这种网络与空间移动代理已经建立能够模拟一些实际情况。在本文中，我们研究的动态结果移动代理相互作用的基础上，他们的物理接近。为此，我们特别强调代理之间的竞争相互作用的影响，这取决于他们的物理距离。我们特别假设吸引力的耦合剂之间的相互远离，而我们采取排斥相互作用的空间足够接近的代理。有了这个设置，我们考虑两种类型的耦合配置，破坏耦合和保持耦合。我们遇到的集体动力学的变种，从同步，不均匀的小振荡集群状态和极端事件，同时改变吸引力和排斥力的耦合强度。我们已经能够映射所有这些动力学行为的耦合参数空间。在没有排斥耦合的情况下，完全同步是最理想的状态，我们提出了一个分析研究这种情况下，同意与数值结果。
英文摘要：
Diverse collective dynamics emerge in dynamical systems interacting on top of complex network architectures. Along this line of research, temporal network has come out to be one of the most promising network platforms to investigate. Especially, such network with spatially moving agents has been established to be capable of modelling a number of practical instances. In this paper, we examine the dynamical outcomes of moving agents interacting based upon their physical proximity. For this, we particularly emphasize on the impact of competing interactions among the agents depending on their physical distance. We specifically assume attractive coupling between agents which are staying apart from each other, whereas we adopt repulsive interaction for agents that are sufficiently close in space. With this set-up, we consider two types of coupling configurations, symmetry-breaking and symmetry-preserving couplings. We encounter variants of collective dynamics ranging from synchronization, inhomogeneous small oscillation to cluster state and extreme events while changing the attractive and repulsive coupling strengths. We have been able to map all these dynamical behaviors in the coupling parameter space. Complete synchronization being the most desired state in absence of repulsive coupling, we present an analytical study for this scenario that agrees well with the numerical results.
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