振荡微分延迟方程对单一刺激的响应
动力系统
2018-11-20 v2
摘要
在此，我们解析地考察了一个简单微分延迟方程的极限环解对分段线性非线性的单脉冲扰动的反应。我们解析地构造了未扰动的极限环，并能够完整刻画在极限环不同点起始的、具有正振幅和正持续时间的脉冲的扰动响应。我们确定了扰动后极限环的极小、极大和周期，并展示了脉冲如何相对于未扰动情形改变这些量。
引用
@article{arxiv.1510.05780,
title = {Response of an oscillatory differential delay equation to a single stimulus},
author = {Michael C. Mackey and Marta Tyran-Kaminska and Hans-Otto Walther},
journal= {arXiv preprint arXiv:1510.05780},
year = {2018}
}
备注
67 pages, 17 figures; most proofs were moved to appendieces; references were added