Synchronization of Shilnikov chaos in a CO2 laser with feedback

We offer the first type of control of a wildly intermittent chaos that is resistant to standard control methods. Under an external periodic action, the frequency of every unstable periodic orbit embedded within the chaotic attractor can be locked to the frequency of the parameter modulation displaying either complete or partial synchronization. The phase synchronization of Shilnikov chaos was observed at small modulation amplitudes.