Ray Arnob, Rakshit Sarbendu, Ghosh Dibakar, Dana Syamal K
Physics and Applied Mathematics Unit, Indian Statistical Institute, 203 B. T. Road, Kolkata 700108, India.
Department of Mathematics, Jadavpur University, Kolkata 700032, India.
Chaos. 2019 Apr;29(4):043131. doi: 10.1063/1.5092741.
We notice signatures of extreme eventslike behavior in a laser based Ikeda map. The trajectory of the system occasionally travels a large distance away from the bounded chaotic region, which appears as intermittent spiking events in the temporal dynamics. The large spiking events satisfy the conditions of extreme events as usually observed in dynamical systems. The probability density function of the large spiking events shows a long-tail distribution consistent with the characteristics of rare events. The interevent intervals obey a Poissonlike distribution. We locate the parameter regions of extreme events in phase diagrams. Furthermore, we study two Ikeda maps to explore how and when extreme events terminate via mutual interaction. A pure diffusion of information exchange is unable to terminate extreme events where synchronous occurrence of extreme events is only possible even for large interaction. On the other hand, a threshold-activated coupling can terminate extreme events above a critical value of mutual interaction.
我们在基于激光的池田映射中注意到极端事件行为的特征。系统的轨迹偶尔会远离有界混沌区域行进很长一段距离，这在时间动态中表现为间歇性尖峰事件。这些大的尖峰事件满足动态系统中通常观察到的极端事件的条件。大尖峰事件的概率密度函数显示出与稀有事件特征一致的长尾分布。事件间隔服从类泊松分布。我们在相图中确定极端事件的参数区域。此外，我们研究两个池田映射，以探索极端事件如何以及何时通过相互作用终止。纯粹的信息交换扩散无法终止极端事件，即使对于大的相互作用，极端事件也只能同步发生。另一方面，阈值激活耦合可以在相互作用的临界值以上终止极端事件。
