An approach is presented for the reconstruction of phase synchronization phenomena in a chaotic ${\mathrm{CO}}_2$ laser from experimental data. We analyze this laser system in a regime able to phase synchronize with a weak sinusoidal forcing. Our technique recovers the synchronization diagram of the experimental system from only few measurement data sets, thus allowing the prediction of the regime of phase synchronization as well as nonsynchronization in a broad parameter space of forcing frequency and amplitude without further experiments.

• Received 12 May 2004

DOI:https://doi.org/10.1103/PhysRevE.70.035204