Study of Chaos Control of a Dual-Ring Erbium-Doped Fiber Laser Using Parameter Method

Abstract This paper aims to study single-parameter and dual-parameter chaos control of a dual-ring erbium-doped fiber laser. We present the control model to pressure chaotic behavior of the laser to a periodic state or multi-periodic states by introducing a periodic mutational signal to adjust the losses of dual ring. When the loss of single ring is shifted between two different levels, the laser behaviors can be deduced to two single-period states, while two rings can emit cyclic pulses. We find a control-locking regime and discuss its frequency characteristic of the laser. When another signal is taken to control to perform on the loss, the laser can be deduced to show a period-2 state, a period-3 state, period-4 state and other multi-periodic states. And we find dual-dynamic controlled regimes, in which, one ring of the laser can be produced to show a periodic state while another ring presents a period-3 state. We find also a dual-period regime or a period-4 regime. When both the losses of dual ring are adjusted by shifting between different levels, the laser can produce a period-4, a period-6 and other multi-periodic states. The result indicates that chaos control of a dual-ring erbium-doped fiber laser can be realized using the single-parameter and dual-parameter methods.