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There are a few things you can look at. Check to make sure you power is at a constant 12 volts. Usually a dip in voltage will set off a protection mode, but it protection is malfunctioning, this may be occuring. You also may need a larger guage wire for power and ground, depending on how many amps your amplifier is drawing. You subwoofer may be the problem too. Is it a dual 4 ohm, or dual 2 ohm? If it's dual 2 ohm and your amp isnt' one ohm stable, this could be causing the amp to overload. From your description it sounds like the amp is "clipping", so my gut tells me it's more of a power problem. Recheck all your wiring. If you have a multimeter to check your power, use it. Good luck.
You need to wire them according to the limitations of your amp you can pull a 1 ohm overall load just by connecting all of your coils in parallel- or you can get an overall load of 4 ohms by wiring each sub individually in a series configuration which will yield a 12 ohm load per sub -and then wire the 3 sets in parallel which will bring your ohms back down to 4. You can do a lot with that many coils it depends on your amp really-ideally a 1 ohm stable class d mono amp that is 1000-1500 watts rms would knock the **** outta those things JL is the good stuff.
1000 watt or bigger you always wanna have a little play room with the amp so it wont blow or short out. also if you do decide to add another sub....the amp will still be able to push both subs.. yeah so at least 1000 would be perfect but if you dont have the money about a 500watt would still push it hard. just make sure you have all of the options on the amp tuned to make it sound the best and make sure you have the right enclosure for your car. 500 would do...but 1000 would be best =)
For each sub, tie the DVCs in parallel ("+"s together, then "-"s together). This will make the subs look like 2 ohms to the amp. Then, put one sub on each channel of the amp. That will put about 280W rms onto each sub, the max for the amp.
It comes down to Amperage and RMS, your best bet is to go in and talk to a salesman at a stereo shop. That way he can decide on what sort of power you want and how you wanna use the subs. But 1000amp AMP is probably a good start 4 channel of course. Alpine or SOny make some kick a$$ AMPS