loading page

Asymptotic Behavior of Discrete Kuramoto Model on Graphs
  • chun-bo lian,
  • ge bin,
  • kai-xin xing
chun-bo lian
Haerbin Engineering University
Author Profile
ge bin
Haerbin Engineering University
Author Profile
kai-xin xing
Harbin Engineering University
Author Profile

Abstract

In this paper, we study the asymptotic behavior of the discrete Kuramoto model on graphs. The main research method is: by using the theory of graph limits, we rigorously justify that the solutions of the initial value problems (IVPs) for the discrete Kuramoto model with external drive convergence to the solution of the initial value problem for its continuum limit on deterministic graphs, W-random graphs and SW graphs.

Peer review status:UNDER REVIEW

05 Feb 2020Submitted to Mathematical Methods in the Applied Sciences
07 Feb 2020Submission Checks Completed
07 Feb 2020Assigned to Editor
08 Feb 2020Reviewer(s) Assigned
25 Apr 2020Review(s) Completed, Editorial Evaluation Pending
26 Apr 2020Editorial Decision: Revise Major
11 Jun 20201st Revision Received
11 Jun 2020Submission Checks Completed
11 Jun 2020Assigned to Editor
13 Jun 2020Reviewer(s) Assigned
13 Jun 2020Review(s) Completed, Editorial Evaluation Pending
13 Jun 2020Editorial Decision: Revise Major
04 Aug 20202nd Revision Received
04 Aug 2020Submission Checks Completed
04 Aug 2020Assigned to Editor
05 Aug 2020Reviewer(s) Assigned