Kingston S Leo, Mishra Arindam, Balcerzak Marek, Kapitaniak Tomasz, Dana Syamal K
Division of Dynamics, Lodz University of Technology, 90-924 Lodz, Poland.
National Institute of Technology, Durgapur 713209, India.
Phys Rev E. 2021 Sep;104(3-1):034215. doi: 10.1103/PhysRevE.104.034215.
We report intermittent large-intensity pulses that originate in Zeeman laser due to instabilities in quasiperiodic motion, one route follows torus-doubling to chaos and another goes via quasiperiodic intermittency in response to variation in system parameters. The quasiperiodic breakdown route to chaos via torus-doubling is well known; however, the laser model shows intermittent large-intensity pulses for parameter variation beyond the chaotic regime. During quasiperiodic intermittency, the temporal evolution of the laser shows intermittent chaotic bursting episodes intermediate to the quasiperiodic motion instead of periodic motion as usually seen during the Pomeau-Manneville intermittency. The intermittent bursting appears as occasional large-intensity events. In particular, this quasiperiodic intermittency has not been given much attention so far from the dynamical system perspective, in general. In both cases, the infrequent and recurrent large events show non-Gaussian probability distribution of event height extended beyond a significant threshold with a decaying probability confirming rare occurrence of large-intensity pulses.
我们报告了由于准周期运动中的不稳定性而起源于塞曼激光器的间歇性大强度脉冲，一条路径是通过环面加倍通向混沌，另一条路径是响应系统参数变化通过准周期间歇性。通过环面加倍通向混沌的准周期崩溃路径是众所周知的；然而，激光模型显示在混沌区域之外的参数变化时会出现间歇性大强度脉冲。在准周期间歇性期间，激光器的时间演化显示出间歇性混沌爆发事件，介于准周期运动之间，而不是像通常在庞加莱 - 曼内维尔间歇性期间看到的周期性运动。间歇性爆发表现为偶尔的大强度事件。特别是，从动力系统的角度来看，这种准周期间歇性到目前为止总体上没有受到太多关注。在这两种情况下，罕见且反复出现的大事件显示出事件高度的非高斯概率分布，延伸到显著阈值之外，概率衰减证实了大强度脉冲的罕见发生。
