A two dimensional hexagonal cellular automaton using second order dynamics, where cell states at time t-1 determine cell states at time t, is shown to be an effective motion detector. Simulation results indicate that this cellular automaton is capable of simultaneous tracking of multiple objects in the presence of a randomly fluctuating background (clutter). Detection of motion can be achieved in fluctuating backgrounds of 30% or more (30% of the input cells ,or focal plane pixels, are randomly chosen to be active for every frame). This automaton design lends itself well to concurrent focal plane processing, including optical implementations, and has a variety of applications. These include linear motion filtering and feature extraction from time varying images. This design may also serve as a basic model for retinal neuron interactions in biological vision.