Coexistence of multistable synchronous states in a three-oscillator system with higher-order interaction DOI
Xuan Wang, Haihong Li, Qionglin Dai

et al.

Physical review. E, Journal Year: 2024, Volume and Issue: 110(3)

Published: Sept. 18, 2024

We study a three-oscillator system with pairwise (1-simplex) and triadic (2-simplex) interactions, focus on how the interplay between these two types of interactions influences synchronous dynamics. Using minimal model, dynamical phenomena in systems that have been previously studied under thermodynamic limit (N→∞) are further clarified. Various states, including in-phase antiphase as well partial states demonstrated. Meanwhile, significant multistable behaviors revealed. Our work extends previous research which can deepen our understanding impact correlation higher-order interaction multistability. These dynamic bear resemblance to diverse synchronization patterns heart, they also serve pivotal factors information storage memory retention within brain.

Language: Английский

Synchronization and Chaos in Adaptive Kuramoto Networks with Higher-Order Interactions: A Review DOI
Anastasiia A. Emelianova, Vladimir I. Nekorkin

Regular and Chaotic Dynamics, Journal Year: 2025, Volume and Issue: 30(1), P. 57 - 75

Published: Feb. 1, 2025

Language: Английский

Citations

0
Rhythmic dynamics of higher-order phase oscillator populations with competitive couplings DOI
Huajian Yu, Hongbin Chen, Zhigang Zheng

et al.

Nonlinear Dynamics, Journal Year: 2024, Volume and Issue: unknown

Published: Oct. 3, 2024

Language: Английский

Citations

2
Synchronization in adaptive higher-order networks DOI
Md Sayeed Anwar,

S. Nirmala Jenifer,

Paulsamy Muruganandam

et al.

Physical review. E, Journal Year: 2024, Volume and Issue: 110(6)

Published: Dec. 5, 2024

Many natural and human-made complex systems feature group interactions that adapt over time in response to their dynamic states. However, most of the existing adaptive network models fall short capturing these dynamics, as they focus solely on pairwise interactions. In this study, we employ higher-order networks describe by proposing a general framework incorporating both adaptivity We demonstrate global synchronization can exist those structures provide necessary conditions for emergence stable synchronous state. first study setting which are allowed, but only former time. then extend including analyzed settings, show condition is strongly related master stability equation, allowing separate dynamical structural properties. illustrate our theoretical findings through relevant examples involving coupled generalized Kuramoto oscillators with phase lag, an all-to-all nonlocal ring-like structure. also interplay connectivity results formation regions induce transitions between desynchronization. Our reveal introduction adaptation significantly alters compared case constant

Language: Английский

Citations

2
Coexistence of multistable synchronous states in a three-oscillator system with higher-order interaction DOI
Xuan Wang, Haihong Li, Qionglin Dai

et al.

Physical review. E, Journal Year: 2024, Volume and Issue: 110(3)

Published: Sept. 18, 2024

We study a three-oscillator system with pairwise (1-simplex) and triadic (2-simplex) interactions, focus on how the interplay between these two types of interactions influences synchronous dynamics. Using minimal model, dynamical phenomena in systems that have been previously studied under thermodynamic limit (N→∞) are further clarified. Various states, including in-phase antiphase as well partial states demonstrated. Meanwhile, significant multistable behaviors revealed. Our work extends previous research which can deepen our understanding impact correlation higher-order interaction multistability. These dynamic bear resemblance to diverse synchronization patterns heart, they also serve pivotal factors information storage memory retention within brain.

Language: Английский

Citations

1