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Metaplex Networks: Influence of the Exo-Endo Structure of Complex Systems on Diffusion
SIAM Review ( IF 10.8 ) Pub Date : 2020-08-06 , DOI: 10.1137/18m1236253
Ernesto Estrada , Gissell Estrada-Rodriguez , Heiko Gimperlein

SIAM Review, Volume 62, Issue 3, Page 617-645, January 2020.
In a complex system, the interplay between the internal structure of its entities and their interconnection may play a fundamental role in the global functioning of the system. Here, we define the concept of metaplex, which describes such a trade-off between the internal structure of entities and their interconnections. We then define a dynamical system on a metaplex and study diffusive processes on it. We provide analytical and computational evidence on the role played by the size of the nodes, the location of the internal coupling areas, and the strength and range of the coupling between the nodes on the global dynamics of metaplexes. Finally, we extend our analysis to two real-world metaplexes: a landscape and a brain metaplex. We corroborate that the internal structure of the nodes in a metaplex can dominate the global dynamics (brain metaplex) or play a regulatory role (landscape metaplex) in the influence of the interconnection between nodes.


中文翻译:

Metaplex网络:复杂系统的外-内结构对扩散的影响

SIAM评论,第62卷,第3期,第617-645页,2020年1月。
在复杂的系统中,其实体的内部结构与其互连之间的相互作用可能在系统的全局功能中发挥根本作用。在这里,我们定义了元复杂的概念,它描述了实体的内部结构及其互连之间的这种折衷。然后,我们在复合体上定义一个动力学系统,并研究其上的扩散过程。我们提供分析和计算证据,说明节点的大小,内部耦合区域的位置以及节点之间的耦合强度和范围对整体复合体整体动力学的影响。最后,我们将分析扩展到两个现实世界的复杂环境:景观和大脑复杂环境。
更新日期:2020-08-06
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