The regularized free fall I -- Index computations

Abstract

Main results are, firstly, a generalization of the Conley-Zehnder index from ODEs to the delay equation at hand and, secondly, the equality of the Morse index and the clockwise normalized Conley-Zehnder index µ CZ .We consider the non-local Lagrangian action functional B discovered by Barutello, Ortega, and Verzini [BOV20] with which they obtained a