鞍节点动力分岔下Landau–Lifshitz方程组解的渐近性

IF 0.7 4区数学 Q2 MATHEMATICS

St Petersburg Mathematical Journal Pub Date : 2022-03-04 DOI:10.1090/spmj/1698

L. Kalyakin

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引用次数: 0

摘要

研究了两个具有缓变系数的非线性微分方程组。研究了具有窄过渡层的解的小参数渐近性。这样的层发生在相应代数方程组的根数变化的时刻附近。为了构造渐近线，使用了涉及三个尺度的匹配方法。

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Solution asymptotics for the system of Landau–Lifshitz equations under a saddle-node dynamical bifurcation

A system of two nonlinear differential equations with slowly varying coefficients is treated. The asymptotics in the small parameter for the solutions that have a narrow transition layer is studied. Such a layer occurs near the moment where the number of roots of the corresponding algebraic system of equations changes. To construct the asymptotics, the matching method involving three scales is used.

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来源期刊

St Petersburg Mathematical Journal MATHEMATICS-

CiteScore

1.00

自引率

12.50%

发文量

审稿时长

>12 weeks

期刊介绍： This journal is a cover-to-cover translation into English of Algebra i Analiz, published six times a year by the mathematics section of the Russian Academy of Sciences.