Bi-stability and bifurcation in an erbium-doped fiber three-ring laser

Senlin Yan

doi:10.1117/12.2657136

28 November 2022 Bi-stability and bifurcation in an erbium-doped fiber three-ring laser

Senlin Yan

Proceedings Volume 12503, International Conference on Network Communication and Information Security (ICNCIS 2022); 1250308 (2022) https://doi.org/10.1117/12.2657136
Event: International Conference on Network Communication and Information Security (ICNCIS 2022), 2022, Qingdao, China

Abstract

The paper studies on a novel erbium-doped fiber three-ring laser dynamic system as a chaotic or hyperchaotic laser emitter via “three coupled-rings” in depth. We prove theoretically the bi-stability and the twin-scroll strange attractor scenarios in the three-ring laser in mathematics, such as the dynamic behavior of the laser system may move around the two stable points to form the twin-scroll strange attractor of chaos under certain conditions. The evolution from a quasi-period state to chaos is further discussed via phase parametrization to exhibit a route to hyper chaos from period-doubling through a bifurcation scenario by varying one parameter value of the laser. Our numerical result indicates the infrequent existence of hyper chaos with five positive Lyapunov exponents, and which is a very rare. Finally, the quasi-periodic, chaotic and hyperchaotic regions are numerically demonstrated by the three positive Lyapunov exponents varying with the pump and gain. The fiber laser has an important value to study laser dynamic systems, secure communications, random signal generators, radars, and measuring devices.

Citation Download Citation

Senlin Yan "Bi-stability and bifurcation in an erbium-doped fiber three-ring laser", Proc. SPIE 12503, International Conference on Network Communication and Information Security (ICNCIS 2022), 1250308 (28 November 2022); https://doi.org/10.1117/12.2657136

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