# Traveling kinks in an infinite array of weakly coupled pendula

## TL;DR

This paper proves the existence of traveling kink solutions in an infinite array of weakly coupled pendula using a perturbation approach from the anti-continuum limit.

## Contribution

It introduces a novel application of perturbation methods to establish heteroclinic traveling waves in coupled pendula systems.

## Key findings

- Existence of heteroclinic traveling waves proven
- Perturbation method from anti-continuum limit applied
- Framework applicable to similar coupled oscillator systems

## Abstract

We prove the existence of heteroclinic traveling waves (kinks) in an infinite array of weakly coupled pendula. Our approach is to apply a perturbation argument from the anti-continuum limit.