Morse-Smale流的谱分析II：共振和共振态
Spectral analysis of morse-smale flows ii: resonances and resonant states
摘要：
利用Morse-Smale流的李雅普诺夫指数、绕周期轨道的流的拓扑结构和给定平面联络的单值性，精确地计算了Morse-Smale流的相关谱.当流动具有周期轨道时，相应的特征值呈现垂直带。作为推论，我们得到了动态共振的尖锐外尔渐近。
英文摘要：
The goal of the present work is to compute explicitely the correlation spectrum of a Morse-Smale flow in terms of the Lyapunov exponents of the Morse--Smale flow, the topology of the flow around periodic orbits and the monodromy of some given flat connection. The corresponding eigenvalues exhibit vertical bands when the flow has periodic orbits. As a corollary, we obtain sharp Weyl asymptotics for the dynamical resonances.
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。
