Networked dynamic systems with higher-order interactions:stability versus complexity

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外文摘要：The stability of complex systems is profoundly affected by underlying structures,which are often modeled as networks where nodes indicate system components and edges indicate pairwise interactions between nodes.However,such networks cannot encode the overall complexity of networked systems with higher-order interactions among more than two nodes.Set structures provide a natural description of pairwise and higher-order interactions where nodes are grouped into multiple sets based on their shared traits.Here we derive the stability criteria for networked systems with higher-order interactions by employing set structures.In particular,we provide a simple rule showing that the higher-order interactions play a double-sided role in community stability—networked systems with set structures are stabilized if the expected number of common sets for any two nodes is less than one.Moreover,although previous knowledge suggests that more interactions(i.e.complexity)destabilize networked systems,we report that,with higher-order interactions,networked systems can be stabilized by forming more local sets.Our findings are robust with respect to degree heterogeneous structures,diverse equilibrium states and interaction types.

外文关键词：

networked systemset structurehigher-order interactionstability criteria

作者：

Ye Wang、Aming Li、Long Wang

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作者单位：

Center for Systems and Control,College of Engineering,Peking University,Beijing 100871,China

Center for Multi-Agent Research,Institute for Artificial Intelligence,Peking University,Beijing 100871,China

基金：

National Key Research and Development Program of ChinaNational Natural Science Foundation of ChinaNational Natural Science Foundation of ChinaBeijing Nova Program

项目编号：

2022YFA10084006203600262173004Z211100002121105

出版年：

2024

DOI：

10.1093/nsr/nwae103

国家科学评论(英文版)

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ISSN：

年,卷(期)：2024.11(9)