V-shaped action functional with delay
Symplectic Geometry
2023-04-26 v1
Abstract
In this note we introduce the V-shaped action function with delay in a symplectization which is an intermediate action functional between Rabinowitz action functional and the V-shaped action functional. It lives on the same space as the V-shaped action functional but its gradient flow equation is a delay equation as in the case of Rabinowitz action functional. We show that there is a smooth interpolation between the V-shaped action functional and the V-shaped action functional with delay during which the critical points and its actions are fixed. On the other hand there is a bijection between gradient flow lines of the V-shaped action functional with delay and the ones of Rabinowitz action functional.
Cite
@article{arxiv.2206.06735,
title = {V-shaped action functional with delay},
author = {Urs Frauenfelder},
journal= {arXiv preprint arXiv:2206.06735},
year = {2023}
}
Comments
14 pages