# Bifurcation of relative equilibria generated by a circular vortex path in a circular domain

## TL;DR

This paper investigates how a circular vortex path influences passive particle transport in a 2D ideal flow within a circular domain, identifying bifurcation schemes of relative equilibria and the persistence of periodic solutions under perturbations.

## Contribution

It introduces a bifurcation analysis of relative equilibria generated by a circular vortex path, including effects of perturbations leading to infinite periodic orbits.

## Key findings

- Bifurcation scheme of relative equilibria identified
- Infinite periodic orbits persist under path perturbations
- Conditions for zero winding number solutions established

## Abstract

We study the passive particle transport generated by a circular vortex path in a 2D ideal flow confined in a circular domain. Taking the strength and angular velocity of the vortex path as main parameters, the bifurcation scheme of relative equilibria is identified. For a perturbed path, an infinite number of orbits around the centers are persistent, giving rise to periodic solutions with zero winding number.