标题： 耗散局域态和相位失配单共振光学参量振荡器中的呼吸子：分歧结构与稳定性 显示英文标题

标题： Dissipative localized states and breathers in phase mismatched singly resonant optical parametric oscillators: Bifurcation structure and stability

摘要： 我们研究了相位失配的单共振光学参量振荡器中耗散局域态的出现。这些状态由于连接两个共存状态的前波锁定而出现在两种不同的双稳态构型中。在其中一种构型中，双稳态由两种均匀状态的共存所介导。在这里，局域态以塌陷的蛇形分支结构组织在一起。此外，这些状态经历了振荡失稳，导致呼吸行为。当双稳态与一个均匀状态和一个空间周期性模式的共存相关时，局域态以类似于标准同宿蛇形分支的分支结构组织在一起。通过进行全面的分支分析，我们详细表征了上述结构、它们的线性稳定性和动力学随系统控制参数变化的修改。 显示英文摘要

摘要： We study the emergence of dissipative localized states in phase mismatched singly resonant optical parametric oscillators. These states arise in two different bistable configurations due to the locking of fronts waves connecting the two coexisting states. In one of these configurations the bistabiity is mediated by the coexistence of two uniform states. Here the localized states are organized in a collapsed snaking bifurcation structure. Moreover, these states undergo oscillatory instabilities which lead to a breathing behavior. When the the bistability is related with the coexistence of an uniform state and a spatially periodic pattern, localized states are organized in a bifurcation structure similar to the standard homoclinic snaking. Performing an exhaustive bifurcation analysis, we characterize in detail the previous structures, their linear stability and the modification of their dynamics as a function of the control parameters of the system.