Oscillation mode selection using bifurcation of chaotic mode transitions in a nonlinear ring resonator

This paper demonstrates the effectiveness of an adaptive parametric control method for searching and switching among a large number of multistable oscillation modes using chaotic mode transitions. The adaptive control is used to select nonlinear oscillation modes in an electro-optic ring resonator. In the adaptive control scheme, the result of a simple test of resonator output is fed back to a single parameter, pump laser power, governing bifurcation to and from chaos. The test is the presence or absence of a target code in the oscillation waveform of the resonator output. Chaotic mode transition phenomena, called chaotic itinerancy, are investigated in terms of code dynamics, and the results are used to determine the optimal parameters for the adaptive control.>