logo
ResearchBunny Logo
Connecting Hodge and Sakaguchi-Kuramoto through a mathematical framework for coupled oscillators on simplicial complexes

Mathematics

Connecting Hodge and Sakaguchi-Kuramoto through a mathematical framework for coupled oscillators on simplicial complexes

A. Arnaudon, R. L. Peach, et al.

Discover how the generalized Sakaguchi-Kuramoto model on weighted simplicial complexes, conducted by Alexis Arnaudon and colleagues, unveils complex dynamics and partial synchronization loss in Hodge subspaces. This innovative research extends higher-order interactions in mathematical modeling, promising new insights into synchronization phenomena.

00:00
00:00
Playback language: English
Abstract
This paper introduces a generalized Sakaguchi-Kuramoto model on weighted simplicial complexes, extending the Kuramoto model to higher-order interactions. The model incorporates linear and nonlinear frustration terms independent of simplex orientation. Simulations on increasingly complex simplicial complexes reveal complex dynamics, including partial synchronization loss in Hodge subspaces and simplicial phase re-locking under high frustration.
Publisher
Communications Physics
Published On
Aug 16, 2022
Authors
Alexis Arnaudon, Robert L. Peach, Giovanni Petri, Paul Expert
Tags
Sakaguchi-Kuramoto model
weighted simplicial complexes
higher-order interactions
synchronization
complex dynamics
frustration
Hodge subspaces

Related Publications

Explore these studies to deepen your understanding of the subject.

Neuroimaging the effects of smartphone (over-)use on brain function and structure-a review on the current state of MRI-based findings and a roadmap for future research
Biology

Neuroimaging the effects of smartphone (over-)use on brain function and structure-a review on the current state of MRI-based findings and a roadmap for future research

C. Montag and B. Becker

A generative artificial intelligence framework based on a molecular diffusion model for the design of metal-organic frameworks for carbon capture
Chemistry

A generative artificial intelligence framework based on a molecular diffusion model for the design of metal-organic frameworks for carbon capture

H. Park, X. Yan, et al.

Design and Analysis of a Deep Learning Ensemble Framework Model for the Detection of COVID-19 and Pneumonia Using Large-Scale CT Scan and X-ray Image Datasets
Medicine and Health

Design and Analysis of a Deep Learning Ensemble Framework Model for the Detection of COVID-19 and Pneumonia Using Large-Scale CT Scan and X-ray Image Datasets

X. Xue, S. Chinnaperumal, et al.

Designing a framework for entrepreneurship education in Chinese higher education: a theoretical exploration and empirical case study
Education

Designing a framework for entrepreneurship education in Chinese higher education: a theoretical exploration and empirical case study

L. Shao, Y. Miao, et al.

Listen, Learn & Level Up
Over 10,000 hours of research content in 25+ fields, available in 12+ languages.
No more digging through PDFs, just hit play and absorb the world's latest research in your language, on your time.
listen to research audio papers with researchbunny