Generation and Synchronization of Chaos in Single-Ring Erbium-Doped Fiber Lasers Based on Delay Phase-Shift Feedback Control

Study of a Stars-Parallel Hyperchaos Laser Synchronization LAN with Two Type of Erbium-Doped Fiber Lasers

“…Transferring from one ring to the other through the coupler, and the lasing field results in phase shift π/2. The dynamics of erbium-doped fiber three-ring laser can be described using the following normalize rate equations [12][13][14][15]:…”

“…To achieve synchronization between two rings (bLi and cLi) of the dual-ring lasers and two rings (b and c) of the three-ring lasers, Ea from laser ring a was injected into the bLi laser ring by an anti-phase controller. A synchronization model of the "ants-phasedrive-response" is used here, the first set of dynamics equations for the Li node of the left link of the network is obtained by as follows [12][13][14][15]: (10) For synchronization, if the ring footnotes have "a", or "b", or "c", they have the same parameters in principle, respectively.…”

“…To conduct parallel synchronization between nodes Li and Lj, we obtained the second set of dynamics equations for the bLj node of the left link of the network based on equations (7-10), as follows [12][13][14][15]:…”

“…Both Ea from laser ring and the negative feedback or antiphase light EaRk from laser ring aRk, along with a feedback loop, were delayed for time τ to collectively inject into the laser ring aRk. When a synchronization model of the "delayed-time-feedback" is used here, we then obtained the third set of dynamics equations for the Rk node of the network as follows [12][13][14][15]:…”

“…Specifically, optical neural networks have been shown to have strong parallel computing abilities, high rate, an impressive integration of memory and computation. Therefore, additional research on optical networks and their systems is both important and relevant [5][6][7][8][9][10][11][12][13][14]. Based on star network, multi-node network, parallel synchronization network [5][6][7][8][9][10][11], and fiber laser synchronization systems [12][13][14][15], we propose a stars-parallel fiber laser LAN and a corresponding hyperchaos synchronization system that has the characteristics of star networks, parallel networks, multi-node networks, chaotic synchronization networks, and optical networks, and has the characteristics of the physical structures of both the star and parallel networks.…”