According to an embodiment of the invention the timing of one or more local communication windows can be defined using equations such that one or more local communication windows for two or more devices overlap. For example the periods between two consecutive local communication windows can be defined using a periodic equation such as: LAP Cycle Period=Δ*2n. In this equation n=0, 1, 2, . . . , N, where N and Δ can be fixed. For example, N and Δ can be numbers that are predetermined for a given network, a given set of network devices, etc. In one embodiment every device can become active every Δ*2n superframes. The frequency (n) can be determined based on, for example, incoming or outgoing message traffic, power consumption needs, etc.