کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1897718 | 1044569 | 2011 | 14 صفحه PDF | دانلود رایگان |

We apply the adjoint continuation method to construct highly accurate, periodic solutions that are observed to play a critical role in the multi-pulsing transition of mode-locked laser cavities. The method allows for the construction of solution branches and the identification of their bifurcation structure. Supplementing the adjoint continuation method with a computation of the Floquet multipliers allows for explicit determination of the stability of each branch. This method reveals that, when gain is increased, the multi-pulsing transition starts with a Hopf bifurcation, followed by a period-doubling bifurcation, and a saddle–node bifurcation for limit cycles. Finally, the system exhibits chaotic dynamics and transitions to the double-pulse solutions. Although this method is applied specifically to the waveguide array mode-locking model, the multi-pulsing transition is conjectured to be ubiquitous and these results agree with experimental and computational results from other models.
► Studied the multi-pulsing transition in mode-locked waveguide array lasers.
► Tracked branches of periodic solutions with the adjoint continuation method.
► Explicit computation of the limit cycle bifurcations with the monodromy matrix.
► Good agreement with previous low-dimensional and experimental models.
Journal: Physica D: Nonlinear Phenomena - Volume 240, Issue 22, 1 November 2011, Pages 1791–1804