I am new to this motorcycle and have very limited knowledge about it. Today after work I went to start my 03' Firebolt and had a dead battery. The bike had been sitting for about 8 hours and I hadn't left any lights on. I push started the bike and began riding home only to notice that my lights would dim as the RPMs went over 2000. If I pulled in the clutch and let the RPMs go back down the lights would get bright again. I rode this way for about 5 miles at about 15mph until I found a safe place to stop. During the slow ride as the lights would dim, if I kept the RPMs up, the check engine lamp would illuminate red. If I pulled in the clutch and let the RPMs drop the headlights would get bright again and the check engine lamp would turn off. I also noticed a rough idle during the ride. After stopping I shut the bike off and tried to start it again only to get a fast clicking sound indicating (I think) a dead battery. Could this be as simple as a bad battery? If so, why would the lights dim as the RPMs went up? Any ideas? Has anybody else had anything like this happen?