This study numerically investigates two different noise-induced transitions of nonlinear dynamics in optically injected semiconductor lasers based on the Lang-Kobayashi laser model. Spontaneous emission noise is observed to induce dynamical transitions from stable injection locking to period-one dynamics and from period-one to period-two dynamics when operating points are close to the corresponding dynamical boundaries, respectively. Such transitions follow a smooth dynamical evolution as the noise level increases. The resulting noiseinduced dynamical states exhibit features highly similar to their adjacent dynamical states that keep the same dynamical behaviors when subject to noise. Regions where the noise-induced dynamical transitions occur are identified.
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