Pokemon GO October Research Breakthrough will carry on the same rewards from September. For these two months, you can get a special Eevee wearing a flower crown.
Pokemon GO October Research Breakthrough
Research Tasks can be taken by spinning stops, and doing seven of them to collect the completion stamps will get you a special Breakthrough reward. Normally, this is a legendary Pokemon, but for September and October it will be a special Flower Crown Eevee.
This Flower Crown Eevee can evolve, and its evolutions will carry over the Flower Crown as well. You will also have a chance to encounter a Shiny Flower Crown Eevee, so be sure to catch as many as you can before this special Eevee rotates out.
The Pokemon encountered during as the Research Breakthrough reward will have high IVs as well, so it would be a good opportunity to add a powerful Eeveelution like Glaceon to your team.
Photos courtesy of GAMEFREAK and Niantic.