弦在黑洞视界附近的运动会因为引力波辐射而留下印记，意味着弦在黑洞视界附近的混沌运动将来很有可能在实验室被观测到，因此研究黑洞视界附近弦运动的动力学问题具有十分重要的物理意义。另一方面，通过AdS/CFT对偶，将弦的经典动力学映射到对偶边界场论，可以弄清楚弦在黑洞视界附近的动力学行为以及弦运动与相对论粒子运动的区别和联系。本项目研究内容主要集中在两个方面，一是讨论弦在史瓦西黑洞、AdS史瓦西黑洞和AdS-GB黑洞视界附近弦模型的稳定性问题；二是深入研究混沌识别方法，将保守系统混沌识别算法推广到强引力作用下的耗散系统。本项目的研究成果可以为以后揭开量子混沌之谜和观测弦在黑洞视界附近的混沌现象提供一些理论依据。

Motion of a string orbiting around black holes will leave an imprint on gravitational wave radiation. That is, the chaotic behavior of a string around black holes might be able to detect in experiments. So it is very significant to study dynamics of string near black hole horizon. On the other hand, by the AdS/CFT duality, the classical dynamics can be mapped to the dual boundary field theory such that it is easy to obtain the dynamics of a string around black holes and the difference and relation between a string and a relativistic particle. Two aspects will be mainly concentrated on in this project. The first is the stability analysis of the string motion near Schwarzschild black hole, AdS Schwarzschild black hole, and AdS-GB black hole horizon. The second is about the chaos indicators, which will be extended to dissipation systems with intense gravitation. The results of the project can offer some theoretical basis to understand the mystery of quantum chaos and to observe chaos of a string near black hole horizon.