A snap-stabilizing protocol, starting from any arbitrary initial configuration, always behaves according to its specification. In [10], Cournier and al. present the first snap-stabilizing Propagation of Information with Feedback (PIF) protocol in arbitrary networks. But, in order to achieve the desirable property of snap-stabilization, the algorithm needs the knowledge of the exact size of the network. This drawback prevents the protocol from working on dynamical systems. In this paper, we propose an original protocol which solves this drawback. Keywords: Fault-tolerance, propagation of information with feedback, reset protocols, self-stabilization, snap-stabilization, wave algorithms.