For temperature control, you probably want to use a PI controller with Anti-windup. This will compensate for the limits on actuator (heating element) output, and prevent large overshoots from "windup" of the Integral element.
There's no natural resonance in the system caused by energy-storing elements. For instance, if you drop a cold egg into a pot of water at exactly 80 C, it won't overshoot and go up to 85 C before settling to 80 C. Mechanical systems on the other hand often have "spring-like" behavior that causes them to resonate at certain frequencies.
If you want to get hardcore with the control design then you could look into fuzzy logic controllers. It's common in high-end appliances: http://en.wikipedia.org/wiki/Fuzzy_control_system