New Symmetric Periodic Solutions for the Maxwell-Bloch Differential System

被引：5

作者：

Candido, M. R. ^{[1
]}

Llibre, J. ^{[2
]}

Valls, C. ^{[3
]}

机构：

[1] Univ Estadual Campinas, Dept Matemat, Rua Sergio Baruque de Holanda 651, BR-13083859 Campinas, SP, Brazil

[2] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Catalonia, Spain

[3] Univ Lisbon, Inst Super Tecn, Dept Matemat, Av Rovisco Pais, P-1049001 Lisbon, Portugal

来源：

MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY | 2019年 / 22卷 / 02期

基金：

欧盟地平线“2020”; 巴西圣保罗研究基金会;

关键词：

Maxwell-Bloch; Averaging theory; Periodic solutions; Zero-Hopf bifurcations; EQUATIONS;

D O I：

10.1007/s11040-019-9313-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We provide sufficient conditions for the existence of a pair of symmetric periodic solutions in the Maxwell-Bloch differential equations modeling laser systems. These periodic solutions come from a zero-Hopf bifurcation studied using recent results in averaging theory.

引用

页数：13

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