I have an MES, so I don't know how a Dyna Glo works, but in the MES, the chips are heated to smoking temperature by the same element that is used to heat the chamber. As a result, in order to get the chips to combustion temperature, the element has to get really hot, and has to stay hot for more than a few seconds. As a result, the unit is designed so that the element stays on for a lot longer than is needed to bring the smoker back up to temp after the element was last turned off by the thermostat. This creates really big temperature swings.
This is the basic nature of this design.
Fortunately, the food doesn't care much about these variations, although you do sometimes have to get creative in setting your temperature: if the highs get too high you can overcook the exterior, and if the average temp is not right, then your cooking times will be way off.
The solution is to re-engineer the unit. With an MES, the ultimate is to put in a PID controller which regulates the element so you only get 1-2 degree swings (and maybe less than that). However, this completely and totally stops the chips from "catching," so you also have to build a "mailbox mod" or some other external enclosure where the smoke is created and then delivered to the box.
For most people, they just live with the temperature swings, since it usually doesn't affect the cooking, and adapt their temps and recipes as needed.