论文标题
拓扑局部状态在时间延迟的Adler模型中:分叉分析和互动定律
Topological Localized states in the time delayed Adler model: Bifurcation analysis and interaction law
论文作者
论文摘要
延迟的Adler方程可以说是注射半导体激光器具有连贯注入和光学反馈的最简单模型。它能够再现拓扑局部结构(LSS)的存在及其丰富的相互作用。在本文中,我们对该模型进行了第一个扩展分叉分析,并探讨了LSS出现的机制。我们还得出了管理遥远LS运动的有效方程式,并且我们强调了时间延迟的系统缺乏奇偶校验如何导致拓扑局部状态之间的异国情调,非近代的相互作用。
The time-delayed Adler equation is arguably the simplest model for an injected semiconductor laser with coherent injection and optical feedback. It is able to reproduce the existence of topological localized structures (LSs) and their rich interactions. In this paper we perform the first extended bifurcation analysis of this model and we explore the mechanisms by which LSs emerge. We also derive the effective equations governing the motion of distant LSs and we stress how the lack of parity in time-delayed systems leads to exotic, non-reciprocal, interactions between topological localized states.