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Stationary and oscillatory bound states of dissipative solitons created by third-order dispersion

机译:由三阶分散创建的耗散孤子的固定和振荡态态

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We consider the model of fiber-laser cavities near the zerodispersion point, based on the complex Ginzburg-Landau equation with the cubic-quintic nonlinearity and thirdorder dispersion (TOD) term. It is known that this model supports stable dissipative solitons. We demonstrate that the same model gives rise to several specific families of robust bound states of solitons. There are both stationary and dynamical bound states, with constant or oscillating separation between the bound solitons. Stationary states are multistable, corresponding to different values of the separation. Following the increase of the TOD coefficient, the stationary bound state with the smallest separation gives rise to the oscillatory one through the Hopf bifurcation. Further growth of TOD leads to a bifurcation transforming the oscillatory bound state into a chaotically oscillating one. Families of multistable three-and four-soliton complexes are found too, the ones with the smallest separation between the solitons again ending by the transition to oscillatory states through the Hopf bifurcation. (C) 2018 Optical Society of America
机译:我们认为基于Zerodispersion点附近的光纤激光腔模型,基于与立方 - QINICTIC非线性和第三阶色散(TOD)术语的复杂Ginzburg-Landau方程。已知该模型支持稳定的耗散孤子。我们证明相同模型引发了孤子孤立龙的若干特定家庭。有静止和动态的界定状态,结合孤子之间的恒定或振荡分离。静止状态是多用的,对应于分离的不同值。在TOD系数的增加之后,具有最小分离的静止界定状态通过HOPF分叉产生振荡的态度。 TOD的进一步生长导致分叉将振荡状态转变为混合振荡的振荡状态。也发现了多级三孤孤隆复合物的家庭,通过HOPF分叉通过向振荡状态转移到振荡器时,孤子之间最小的分离。 (c)2018年光学学会

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