鲁尔科夫映射高阶网络的同步

Synchronization of a higher-order network of Rulkov maps.

作者信息

Mirzaei Simin, Mehrabbeik Mahtab, Rajagopal Karthikeyan, Jafari Sajad, Chen Guanrong

机构信息

Department of Biomedical Engineering, Amirkabir University of Technology (Tehran Polytechnic), Tehran 159163-4311, Iran.

Centre for Nonlinear Systems, Chennai Institute of Technology, Chennai 600069, India.

出版信息

Chaos. 2022 Dec;32(12):123133. doi: 10.1063/5.0117473.

DOI:10.1063/5.0117473

PMID:36587357

Abstract

In neuronal network analysis on, for example, synchronization, it has been observed that the influence of interactions between pairwise nodes is essential. This paper further reveals that there exist higher-order interactions among multi-node simplicial complexes. Using a neuronal network of Rulkov maps, the impact of such higher-order interactions on network synchronization is simulated and analyzed. The results show that multi-node interactions can considerably enhance the Rulkov network synchronization, better than pairwise interactions, for involving more and more neurons in the network.

摘要

在例如对同步性的神经网络分析中，已经观察到成对节点之间相互作用的影响至关重要。本文进一步揭示了多节点单纯复形之间存在高阶相互作用。利用Rulkov映射的神经网络，模拟并分析了这种高阶相互作用对网络同步性的影响。结果表明，多节点相互作用能够显著增强Rulkov网络的同步性，比成对相互作用更好，因为它能使网络中越来越多的神经元参与进来。