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异构振荡动力学实际同步中的闲聊效应

The Small-Talk Effect in Practical Synchronization of Heterogeneous Oscillating Dynamics

Finn Voland, Vincent Schmidtke, Zonglin Liu, Olaf Stursberg

arXiv 2609.20115首次发表:更新:

AI 中文总结

本文针对异构Lienard振荡器系统,提出一种结合全局更新与子网络内更频繁局部交互的多时间尺度通信方案,在给定同步误差界限下,将全局和局部更新速率作为设计参数,数值示例验证了局部交互的益处。

AI 中文摘要

本文研究了异构Lienard振荡器系统同步中的多时间尺度通信方案。现有结果依赖于所有网络系统在离散时间点的全局信息交换,在调整通信速率与同步性能之间的权衡方面灵活性有限。为此,本文提出了一种方案,研究全局更新如何通过子网络内更频繁的局部交互来补充。对于给定的同步误差界限,推导了全局和局部更新速率可作为设计参数选择的条件。数值示例说明了局部交互的有益效果。

英文摘要

This paper investigates multi-time scale commu- nication schemes in synchronization of heterogeneous Lienard oscillator systems. Existing results rely on global exchange of information for all networked systems at discrete time instants, providing limited flexibility in adjusting the trade-off between communication rate and synchronization performance. A scheme to investigate how global updates are complemented by more frequent local interactions within a sub-network is thus proposed in this paper. For a prescribed bound on the synchronization error, conditions are derived under which the global and local update rates can be selected as design parameters. A numerical example illustrates the beneficial effect of the local interactions.

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