Motion camouflage for coverage

Pursuit strategies can lead to cohesive behavior. This idea is explored via consideration of a two-particle mutual pursuit system based on motion camouflage as the underlying strategy. Such a two-particle system can be thought of as a model of a pair of cooperative unmanned aerial vehicles, and in a limiting case as a model of a vehicle in the vicinity of a signal source (beacon). Drawing on reductions by symmetry and associated phase space properties, we show how this particular instance of cyclic pursuit can be exploited to achieve observational requirements such as coverage over physical space.