Paper
Morse index theorem for heteroclinic, homoclinic and halfclinic orbits of Lagrangian systems
Authors
Xijun Hu, Alessandro Portaluri, Li Wu, Qin Xing
Abstract
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.