Addendum to Higher order stroboscopic averaged functions: a general relationship with Melnikov functions

TL;DR

This paper discusses a stronger consequence of a main theorem relating higher order stroboscopic averaged functions to Melnikov functions, expanding on previous work to deepen the theoretical understanding of these mathematical tools.

Contribution

It provides a stronger consequence of the main theorem connecting higher order stroboscopic averaged functions with Melnikov functions, enhancing the theoretical framework.

Findings

Establishes a stronger relationship between averaged functions and Melnikov functions

Extends the theoretical understanding of perturbation methods

Builds upon previous main theorem with new implications

Abstract

This addendum presents a relevant stronger consequence of the main theorem of the paper "Higher order stroboscopic averaged functions: a general relationship with Melnikov functions" [arXiv:2011.03663], EJQTDE No. 77 (2021).