have you chacked the running voltage of the bike to make sure its not overcharging? suzuki regulator rectifiers have been problematic in the past, dont know if the gn is new enough to have evaded this problem, but its worth getting a multimeter and checking the voltage with the engine off and again with it running at tickover and again at higher revs. static it shout be round 13v, running it shouldnt be more than 14.5-15volts. altrnatively, its also worth making sure all your earths are clean and tightened up and finally, make sure that the reg rec is securely bolted to the frame well earthed and if possible the ignition too. finally, dont leave it standing with the ignition turned on if its not running.