Bifurcation analysis and structural stability of simplicial oscillator populations

We present an analytical description for the collective dynamics of oscillator ensembles with higher-order coupling encoded by simplicial structure, which serves as an illustrative and insightful paradigm for brain function and information storage. The novel dynamics of the system, including abrupt...

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Bibliographic Details
Main Authors: Can Xu, Xuebin Wang, Per Sebastian Skardal
Format: Article
Language:English
Published: American Physical Society 2020-06-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.2.023281