论文标题
碰撞引起的HOPF型分叉可逆转变在双波长飞秒激光器中
Collision-induced Hopf-type bifurcation reversible transitions in a dual-wavelength femtosecond fiber laser
论文作者
论文摘要
碰撞是指耗散系统中的惊人的非线性相互作用，揭示了孤子的类似粒子样性能。在双波长模式锁定的纤维激光器中，碰撞是固有且周期性的。但是，碰撞如何影响双波长模式锁定状态下的动态跃迁。在我们的研究中，分散管理触发了腔中孤子之间的复杂相互作用。我们通过TS-DFT的实时光谱测量技术揭示了双色孤子分子（SMS）的平滑或可逆的HOPF型分叉转变。可逆的从固定SM到振动SM的过渡，揭示了腔参数通过碰撞过程中的分叉点，而无需主动外部干预。数值结果证实了碰撞引起的分叉行为的普遍性。这些发现为双波长超快纤维激光器中的碰撞动力学提供了新的见解。此外，对分子间碰撞的研究对于非线性科学的其他分支具有重要意义。
Collision refers to a striking nonlinear interaction in dissipative systems, revealing the particle-like properties of solitons. In dual-wavelength mode-locked fiber lasers, collisions are inherent and periodic. However, how collisions influence the dynamical transitions in the dual-wavelength mode-locked state has still not been explored. In our research, dispersion management triggers the complex interactions between solitons in the cavity. We reveal the smooth or reversible Hopf-type bifurcation transitions of dual-color soliton molecules (SMs) during collision by real-time spectral measurement technique of TS-DFT. The reversible transitions from stationary SM to vibrating SM, revealing that cavity parameters pass through a bifurcation point in the collision process without active external intervention. The numerical results confirm the universality of collision-induced bifurcation behavior. These findings provide new insights into collision dynamics in dual-wavelength ultrafast fiber lasers. Furthermore, the study of intermolecular collisions is of great significance for other branches of nonlinear science.
