Have you done any maintenance to the bike recently ?
Have you started using a new or different tire pressure gauge ?
I would have a good look at all of the bolts and nuts on the front end, and rear end, check for looseness, even though the R65 isn't known for causing fasteners to loosen up.
Check the steering head bearings, with the bike on the center stand, move the front wheel fore and aft, to see if you have any play, if so, then they need to be tightened up, and maybe a bit of grease as well.
Check the swing arm bearings for proper adjustment. and see if the lock nut may have loosened up, a few pumps of grease from a grease gun here wouldn't hurt either.
How old are the rear shock absorbers ?
May not be one major problem, but a combination of smaller issues coming together and acting like a large one.