Global manifold control in a driven laser: sustaining chaos and regular dynamics

We present experimental and numerical evidence of a multi-frequency phase control able to preserve periodic behavior within a chaotic window as well as to re-excite chaotic behavior when it is destroyed by the presence of a mitigating unstable periodic orbit created in the presence of the multi-frequency drive. The mitigating saddle controlling the global behavior is identified and the controlling manifolds approximated.

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