Work

Emergent dynamics of the inertial Kuramoto model with frustration on a locally coupled graph

Year: 2025

Type: article

Abstract: We study the synchronised behaviour of the inertial Kuramoto oscillators with frustration effect under a symmetric and connected network. Due to the lack of second-order gradient flow structure and singularity of second-order derivative of diameter, we shift to construct convex combinations of oscillators and related new energy functions that can control the phase and frequency diameters. Under sufficient frameworks on initial data and system parameters, we derive first-order dissipative differential inequalities of constructed energy functions. This eventually gives rise to the emergence of frequency synchronisation exponentially fast.

Source: Nonlinearity

DOI: 10.1088/1361-6544/adfff4

Authors: Tingting Zhu, Xiongtao Zhang

Institutions: Hefei University, Wuhan University

Language: English

Topic: Nonlinear Dynamics and Pattern Formation

Subfield: Computer Networks and Communications

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

Funders: National Natural Science Foundation of China, Hefei University

Awards: G1722290714, G5316994961