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Global dynamics of the Maxwell-Bloch system with invariant algebraic surfaces
Dynamical Systems ( IF 0.5 ) Pub Date : 2020-06-01 F.S. Dias, Claudia Valls
中文翻译:
不变代数曲面的Maxwell-Bloch系统的整体动力学
更新日期:2020-06-01
Dynamical Systems ( IF 0.5 ) Pub Date : 2020-06-01 F.S. Dias, Claudia Valls
In this paper by using the Poincaré compactification in we make a global analysis of the Maxwell-Bloch system with , b,c and . We give the complete description of its dynamics on the sphere at infinity. For some values of the the parameters, this system has first integrals and invariant algebraic surfaces. For these sets we provide the global phase portraits of the Maxwell-Bloch system in the Poincaré ball (i.e. in the compactification of with the sphere at infinity).
中文翻译:
不变代数曲面的Maxwell-Bloch系统的整体动力学
本文通过使用庞加莱压实 我们对Maxwell-Bloch系统进行了全局分析 与 ,b,c和。我们完整地描述了它在无限远处在球面上的动力学。对于某些参数值,该系统具有第一积分和不变的代数曲面。对于这些集合,我们提供庞加莱球中Maxwell-Bloch系统的全局相图(即压缩 与球体 在无穷大)。