Instabilities of localized structures in dissipative systems with delayed feedback.
Instabilities of localized structures in dissipative systems with delayed feedback.
复制标题
具有延迟反馈的耗散系统中局部结构的不稳定性。
DOI：
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发表时间：
2012
影响因子：
8.6
通讯作者：
R. Friedrich
中科院分区：
文献类型：
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作者：
S. Gurevich;R. Friedrich
我们报道了一个真实的Swift-Hohenberg方程在延迟反馈作用下的孤立子局域结构的新行为。我们将表明，延迟时间和反馈强度的产品的变化导致非平凡的不稳定性，从而形成的孤子，孤子环，迷宫图案，或移动的结构。我们提供了一个分支分析的延迟系统，并推导出一个系统的顺序参数方程明确描述的时间行为的局部化结构在附近的分歧点。我们证明了一个正常形式的分叉，负责移动孤立结构的出现，可以得到，并表明自发运动的最低阶发生而不改变的形状。
We report on a novel behavior of solitary localized structures in a real Swift-Hohenberg equation subjected to a delayed feedback. We shall show that variation in the product of the delay time and the feedback strength leads to nontrivial instabilities resulting in the formation of oscillons, soliton rings, labyrinth patterns, or moving structures. We provide a bifurcation analysis of the delayed system and derive a system of order parameter equations explicitly describing the temporal behavior of the localized structure in the vicinity of the bifurcation point. We demonstrate that a normal form of the bifurcation, responsible for the emergence of moving solitary structures, can be obtained and show that spontaneous motion to the lowest order occurs without change of the shape.