Synchronization of the generalized Kuramoto model with time delay and frustration-Reference-Cited by-同舟云学术

Synchronization of the generalized Kuramoto model with time delay and frustration

Published:2023 Issue:4 Volume:18 Page:1772-1798
ISSN:1556-1801
Container-title:Networks and Heterogeneous Media
language:
Short-container-title:NHM

Author:

Zhu Tingting¹²

Affiliation:

1. School of Artificial Intelligence and Big Data, Hefei University, Hefei 230601, China

2. Key Laboratory of Applied Mathematics and Artificial Intelligence Mechanism, Hefei University, Hefei 230601, China

Abstract

<abstract><p>We studied the collective behaviors of the time-delayed Kuramoto model with frustration under general network topology. For the generalized Kuramoto model with the graph diameter no greater than two and under a sufficient regime in terms of small time delay and frustration and large coupling strength, we showed that the complete frequency synchronization occurs exponentially fast when the initial configuration is distributed in a half circle. We also studied a complete network, which is a small perturbation of all-to-all coupling, as well as presented sufficient frameworks leading to the exponential emergence of frequency synchronization for the initial data confined in a half circle.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Computer Science Applications,General Engineering,Statistics and Probability

Reference39 articles.

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