Abstract

Any time periodic system near bifurcation points is found¹ acts to amplify parametric perturbations at a specific frequency. Quantitatively, the system response obeys universal scaling laws. It has been recently shown² that the resonant signal amplification in a CO₂ laser, driven in the vicinity of a period-doubling bifurcation (PDB), changes periodically with the perturbation phase. In this report we present the results of experimental investigation of the influence of the perturbation phase on the scaling law for the amplification of output power at the perturbation frequency near the PDB point. Our results show a ir-periodical dependence of the scaling law on the perturbation phase. We also present experimental evidence of the deformation of the bifurcation diagram resulting from the resonant perturbation. We demonstrate that small resonant perturbations at a specific phase can produce a shift of the bifurcation diagram in all bifurcation points.

© 1996 Optical Society of America