Hi, I am new to the board, and new to motorcycles.  I recently received a 92 XJ600 seca II.  It was working pretty good there for a few weeks, but now it dies after a few minutes of riding. 
 
It starts up pretty strong and seems to run fine, but after about 3 to 5 minutes it starts having trouble.  If I am riding it at speed, it will continue to run, but barely and will little power.  When I release the clutch it dies.  If I pop the clutch it starts back up, but there isn't enough power being produced to accelerate much. 
 
I can start it back up with the choke out, but it will often just rev high for a sec then die again.  Sometimes I can keep it going if I give it gas, put the choke in, and keep the rpms high, but as soon as I let the clutch out it dies - no real torque being produced. 
 
If I let it sit for a good while, it will start up strong again, and the process repeats itself. 
 
Any suggestions on where to look?  Would it overheat that quick?  I live the Monterey area, so it stays pretty cool.  How can I tell if it has overheated - though I don't think this is the problem? 
 
Before I inherited it, the carb was rebuilt.  It has a new battery.  I checked a few of the spark plugs and they looked ok. 
 
Any help would be greatly appreciated. 
 
Thanks, 
Thomas