In the second chapter, for a Bose-Einstein condensate (BEC) confined in a double lattice consisting of two weak laser standing waves we find the Melnikov chaotic solution and chaotic region on the parameter space by using the direct perturbation method.
第二章考虑玻色-爱因斯坦凝聚体(BECs)囚禁在由两弱的激光驻波组成的双晶格中，应用直接微扰展开的方法，得到了Melnikov意义下混沌解和参数空间的混沌区域。
参考来源 - 光晶格中玻色—爱因斯坦凝聚体的混沌控制和稳定性分析Using a set of simple parameters, we found all equilibrium points are unstable. The result shows that the system is likely to have periodic solution, chaos solution or emanative solution.
我们选取一组简单参数进行了具体讨论,结果发现此时系统的平衡点都是不稳定的,这表明系统可能存在周期解或混沌解、也有可能是发散解。
参考来源 - 五维非线性网络动力学的研究·2,447,543篇论文数据，部分数据来源于NoteExpress
本文对平均方程的稳态解、周期解以及混沌解进行了研究。
The equilibrium solution, the periodic solution and chaotic solution of averaging equations are examined in this paper.
讨论了纽结理论对量子混沌的应用，并揭示了量子系统中混沌解的拓扑结构。
This paper discusses the application of knot theory to quantum chaos, reveals the topological structure of the chaotic solution of quantum systems.
由于混沌具有遍历性，TSP问题总是能够达到最优解。
Due to chaotic ergodicity, TSP can always achieve optimal path.
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