Natural corks take longer to decompress and return close to their original diameter and the pressure created will leak out over time if you leave the bottles upright./ That is why the advice is to store them upright for a day after corking. Synthetics bounce back immediately and seal the bottle as they are inserted making them the piston and the bottle the cylinder. They will never leak any of the bottling pressure out and I have always wondered if that is the reason sulfite levels measured in a synthetic corked bottle are often lower, they have more oxygen to scavenge. Sumpremecorq recommended either vacuum bottling or the fishing line trick for homewinemakers. If you use a decent test line and pull it slow it could work. String trimmer line might work better. I use Nomacorc and don't bother, I have wines under them for 3 to 4 years and have no complaints.
As an aside, anyone with a brass jaw corker needs to be careful with synthetics, you need to examine the seal area closely to make sure your corker is not scoring the corc and creating an imperfect seal. Natural corks are much more tolerant. If you are getting scoring the jaws can be adjusted. Iit's a pain to do and the jaws are under a lot of pressure, if you are not mechanically inclined you shouldn't take one apart.
It's good practice to leave 1/2 to 3/4" headspace on wines corked with anything to allow temperature changes to be absorbed within that headspace. A corked wine bottle is a big thermometer....
Joe