论文标题
Morse索引定理，用于拉格朗日系统的杂斜，同质和半临床轨道
Morse index theorem for heteroclinic, homoclinic and halfclinic orbits of Lagrangian systems
论文作者
论文摘要
本文的目的是证明莫尔斯（Morse）索引定理的新版本，用于杂项，同层和半斜链解决方案，在一般拉格朗日系统中。在最后一部分中，我们计算了经典的机械模型（例如数学摆，nagumo方程和四维竞争扩散系统）中特定杂节和半链溶液的MORSE指数。
The purpose of this paper is to prove a new, more general version of the Morse index theorem for heteroclinic, homoclinic, and half-clinic solutions in general Lagrangian systems. In the final section, we compute the Morse index for specific heteroclinic and half-clinic solutions in classical mechanical models such as the mathematical pendulum, the Nagumo equation, and a four-dimensional competition-diffusion system.
