Computing Bounds for the Synchronization Errors of Nonidentical Nonlinear Oscillators with Time-Varying Diffusive Coupling

Tabea Trummel, Zonglin Liu, Olaf Stursberg

2024

Abstract

The paper studies bounds of the synchronization error for networks of diffusively coupled and nonidentical nonlinear oscillators. In contrast to preceding work, which only analyzes the synchronization error in the limit and for constant coupling, a method based on over-approximating reachable sets of the synchronization error is proposed. The method allows the evaluation of different and time-varying gains along the limit cycles. Instead of using strong coupling gains to preserve synchronization, it is proposed to vary the coupling gains over time, while the synchronization error determined via reachable set does not exceed a specified bound. Evaluation results for the proposed method are provided for different types of coupled oscillators.

Paper Citation

in Harvard Style

Trummel T., Liu Z. and Stursberg O. (2024). Computing Bounds for the Synchronization Errors of Nonidentical Nonlinear Oscillators with Time-Varying Diffusive Coupling. In Proceedings of the 21st International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO; ISBN 978-989-758-717-7, SciTePress, pages 612-622. DOI: 10.5220/0013071100003822

in Bibtex Style

@conference{icinco24,
author={Tabea Trummel and Zonglin Liu and Olaf Stursberg},
title={Computing Bounds for the Synchronization Errors of Nonidentical Nonlinear Oscillators with Time-Varying Diffusive Coupling},
booktitle={Proceedings of the 21st International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO},
year={2024},
pages={612-622},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0013071100003822},
isbn={978-989-758-717-7},
}

in EndNote Style

TY - CONF

JO - Proceedings of the 21st International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO
TI - Computing Bounds for the Synchronization Errors of Nonidentical Nonlinear Oscillators with Time-Varying Diffusive Coupling
SN - 978-989-758-717-7
AU - Trummel T.
AU - Liu Z.
AU - Stursberg O.
PY - 2024
SP - 612
EP - 622
DO - 10.5220/0013071100003822
PB - SciTePress