Thual-Fauve脉冲：偏斜稳定
The Thual-Fauve pulse: skew stabilization
摘要：
可以选择一个实数五次金斯堡-朗道方程的参数，使它具有局部脉冲状解;图尔和福夫在数值上观察到，这些脉冲是通过破坏实数方程梯度结构的扰动而稳定的。对于方程的实部具有大的脉冲的参数，我们通过验证渐近性证明了脉冲的存在性，找到了算子的小特征值及其相应特征向量的展开式，并给出了稳定的充分条件.这个条件被推广到任何小的Ginzburg-Landau非梯度五次扰动。
英文摘要：
It is possible to choose the parameters of a real quintic Ginzburg-Landau equation so that it possesses localized pulse-like solutions; Thual and Fauve have observed numerically that these pulses are stabilized by perturbations destroying the gradient structure of the real equation. For parameters such that the real part of the equations possesses pulses with a large shelf, we prove the existence of pulses by validated asymptotics, we find the expansion of the small eigenvalues of the operator and of their corresponding eigenvectors, and we give a sufficient condition for stabilization. This condition is generalized to any small non-gradient quintic perturbation of Ginzburg-Landau.
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