On the periodic solutions of a generalized smooth or non-smooth perturbed planar double pendulum

TL;DR

This paper establishes conditions under which small-amplitude periodic solutions exist in a generalized planar double pendulum system, accommodating both smooth and non-smooth perturbations.

Contribution

It introduces sufficient criteria for periodic solutions in a perturbed double pendulum, extending analysis to non-smooth perturbations.

Findings

Sufficient conditions for periodic solutions are derived.

Results apply to both smooth and non-smooth perturbations.

The work broadens understanding of pendulum dynamics under various perturbations.

Abstract

We provide sufficient conditions for the existence of periodic solutions with small amplitude of the non--linear planar double pendulum perturbed by smooth or non--smooth functions.