弱相互作用CMLs中凝聚与独立
Condensation versus independence in weakly interacting CMLs
摘要：
我们提出了一个简单的模型，统一了两个主要的方法来分析大型多组分系统：相互作用粒子系统（IPS）和耦合映射格子（CML），并表明，在弱相互作用的限制，取决于精细的相互作用势的性质，这个模型可以证明凝聚/同步和独立的运动。请注意，CML理论的主要范例之一是后者的行为应该是通用的。所考虑的模型与动力学网络有关，并为弱相互作用下的同步问题提供了新的思路。
英文摘要：
We propose a simple model unifying two major approaches to the analysis of large multicomponent systems: interacting particle systems (IPS) and couple map lattices (CML) and show that in the weak interaction limit depending on fine properties of the interaction potential this model may demonstrate both condensation/synchronization and independent motions. Note that one of the main paradigms of the CML theory is that the latter behavior is supposed to be generic. The model under consideration is related to dynamical networks and sheds a new light to the problem of synchronization under weak interactions.
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