Dynamics of non-linear feedback systems with short time-delays

Abstract We report a study of optical systems with delayed non-linear feedback when the ratio T / τ of the time-delay T and the response time τ of the system ranges from 10 to 0.01. Results of numerical simulations and experiments including the statistics, the bifurcation diagrams, the power-spectra and the correlation parameters are reported and show that the dynamics evolves from high-dimensional chaos to quasi-periodic oscillations and multistability. The frequency of the P-2 regime is shown to differ from 1/2 T when T / τ decreases.

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