耗散参量不稳定性产生的斑图
Pattern generation by dissipative parametric instability
摘要：
非线性不稳定性是造成从生物学到星系形成的大量自然和工程系统中自发斑图形成的原因。我们提出了一种新的不稳定机制，导致斑图形成在空间扩展的非线性系统的基础上，周期性的反相调制的频谱相关的损失安排在一个曲折的方式：一个有效的过滤施加在对称位置的波数k和-k交替顺序。耗散参量不稳定性的性质不同于调制不稳定性的两个关键经典概念：Benjamin-Feir和Faraday不稳定性。我们演示了如何耗散参数不稳定性可以导致在一维和二维系统的稳定模式的形成。所提出的不稳定性机制是通用的，并且可以自然发生或可以在各种物理系统中实现。
英文摘要：
Nonlinear instabilities are responsible for spontaneous pattern formation in a vast number of natural and engineered systems ranging from biology to galaxies build-up. We propose a new instability mechanism leading to pattern formation in spatially extended nonlinear systems based on a periodic antiphase modulation of spectrally-dependent losses arranged in a zig-zag way: an effective filtering is imposed at symmetrically located wavenumbers k and -k in alternating order. The properties of the dissipative parametric instability differ from the features of the both key classical concepts of modulation instabilities: the Benjamin-Feir, and the Faraday instability. We demonstrate how dissipative parametric instability can lead to the formation of stable patterns in one and two-dimensional systems. The proposed instability mechanism is generic and can naturally occur or can be implemented in various physical systems.
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