On some dynamical and geometrical properties of the Maxwell-Bloch equations with a quadratic control

被引：12

作者：

Binzar, T. ^{[1
]}

Lazureanu, C. ^{[1
]}

机构：

[1] Politehn Univ Timisoara, Dept Math, Timisoara 300006, Romania

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 2013年 / 70卷

关键词：

Maxwell-Bloch equations; Hamiltonian systems; Stability theory; Energy-Casimir map; Periodic orbits; Heteroclinic orbits; PERIODIC-ORBITS; SYSTEM;

D O I：

10.1016/j.geomphys.2013.03.016

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we analyze the stability of the real-valued Maxwell-Bloch equations with a control that depends on state variables quadratically. We also investigate the topological properties of the energy-Casimir map, as well as the existence of periodic orbits and explicitly construct the heteroclinic orbits. (C) 2013 Elsevier B.V. All rights reserved.

引用

页码：1 / 8

页数：8

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