Recent Advances in Coupled Oscillator Synchronization: Theory, Security, and Robustness

Jayanta Biswas

doi:10.2478/gm-2025-0006

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Recent Advances in Coupled Oscillator Synchronization: Theory, Security, and Robustness

General Mathematics

Volume 33 (2025): Issue 1 (June 2025)

By: Jayanta Biswas

Open Access

|Apr 2026

Abstract

Synchronization in coupled oscillator networks has long been a central theme in nonlinear dynamics, with applications spanning physics, biology, and engineering. While the Kuramoto paradigm and pulse-coupled oscillator models established foundational insights, recent years (2023–2025) have witnessed a resurgence of interest, driven by new mathematical frameworks, security-aware synchronization, and experimental realizations. This review highlights five recent contributions that push the field forward: (i) extreme synchronization transitions, (ii) secure pulse-coupled oscillator synchronization, (iii) optimal synchronization rules, (iv) adversarial control of oscillator networks, and (v) noise-enhanced stability of synchronized states. We summarize their main findings, critically compare methods, and outline open problems for future research.

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Articles in this issue

DOI: https://doi.org/10.2478/gm-2025-0006 | Journal eISSN: 1584-3289 | Journal ISSN: 1221-5023

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Language: English

Page range: 77 - 93

Submitted on: Jul 13, 2025

Accepted on: Aug 21, 2025

Published on: Apr 8, 2026

Published by: Lucian Blaga University of Sibiu

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

Keywords:

Related subjects:

Differential equations and dynamical systems,

Probability and statistics,

Numerical and computational mathematics,

Applied mathematics

© 2026 Jayanta Biswas, published by Lucian Blaga University of Sibiu
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 33 (2025): Issue 1 (June 2025)