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arXiv 1302.3058math.DS
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五分量Maxwell-Bloch方程的稳定性问题及其特解

The stability problem and special solutions for the 5-components Maxwell-Bloch equations

Petre Birtea, Ioan Casu

摘要:

对于五分量Maxwell-Bloch系统,孤立平衡点的稳定性问题完全解决。利用辛叶的几何,给出了同宿轨道的详细构造。通过研究系统的不变集问题,我们发现了一个丰富的周期解族。

英文摘要:

For the 5-components Maxwell-Bloch system the stability problem for the isolated equilibria is completely solved. Using the geometry of the symplectic leaves, a detailed construction of the homoclinic orbits is given. Studying the problem of invariant sets for the system we discover a rich family of periodic solutions in explicit form.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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