Maintain a steady amount of light. Longer hours of light is better than shorter, but the big factor is to not have a drop in length of light. Technically it is the length of darkness that has the effect and starts the molt, but hours of light is the way most people think about it.
Try to keep a stable routine. They don’t like change, whether it is temperature or just the daily routine. Don’t add or take away flock members since that affects the pecking order. Don’t let them run out of food or especially water. Feed an appropriate feed. The commercial hybrid layers usually get about 16% protein feed which works. You can feed a little higher protein feed if you really want to, but don’t feed less.
Keep a breed known for laying well in the winter. Some hens will quit laying and go through a molt when the nights get longer, but start up again when the molt is finished, regardless on light or other conditions. Some will wait until the days get longer in the spring to restart laying even after they have finished the molt. Production breeds are better at this that decorative breeds.
This will vary some but domesticated chickens that lay well (production breeds) normally lay for about 12 months after starting, then production suffers. They will normally lay fewer eggs or lay abnormal eggs, like the egg white can get really thin and watery. They may even go through a mini-molt and pretty much stop laying until their body recharges. They have charted how many eggs a flock of hens lays based on how long they have been laying, with light and everything else managed. Usually at around 12 months egg production has dropped to around 50% to 60% of peak production. That’s why commercial egg operations often replace or molt their flocks at this age, to get production back up to where it is profitable. So manage how long they have been laying.
It’s not unusual for a pullet that starts laying in the summer or early fall to continue laying throughout the winter, regardless of the light. Not all do but a lot do. So keeping young layers in the flock can help.
Those are the only scientific things I can think of. Good luck!