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
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.
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