Work

Complete synchronization for a second-order Kuramoto type model of identical oscillators in a switching network

Year: 2025

Type: article

Abstract: In this paper, we investigate the interplay of inertia and a switching network on synchronization of an ensemble of identical Kuramoto oscillators. Under some conditions on initial data and model parameters, we provide a sufficient framework for phase-frequency synchronization. Moreover, we show that the system achieves a synchronous state at an exponential rate. The analysis in this paper is based on matrix analysis. We extend a critical property owned by a connected stochastic matrix, which plays an important role in our proof.

Source: Discrete and Continuous Dynamical Systems - B

DOI: 10.3934/dcdsb.2025049

Authors: Chunyin Jin, Yang Wu

Institution: China Agricultural University

Language: English

Topic: Nonlinear Dynamics and Pattern Formation

Subfield: Computer Networks and Communications

Field: Computer Science

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4408945183

FWCI:

Cites: 37

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Related to: 10