Karnatak Rajat, Ansmann Gerrit, Feudel Ulrike, Lehnertz Klaus
Theoretical Physics/Complex Systems, ICBM, Carl von Ossietzky University of Oldenburg, Carl-von-Ossietzky-Straße 9-11, Box 2503, 26111 Oldenburg, Germany.
Department of Epileptology, University of Bonn, Sigmund-Freud-Straße 25, 53105 Bonn, Germany and Helmholtz Institute for Radiation and Nuclear Physics, University of Bonn, Nussallee 14-16, 53115 Bonn, Germany and Interdisciplinary Center for Complex Systems, University of Bonn, Brühler Straße 7, 53175 Bonn, Germany.
Phys Rev E Stat Nonlin Soft Matter Phys. 2014 Aug;90(2):022917. doi: 10.1103/PhysRevE.90.022917. Epub 2014 Aug 27.
Systems of FitzHugh-Nagumo units with different coupling topologies are capable of self-generating and -terminating strong deviations from their regular dynamics that can be regarded as extreme events due to their rareness and recurrent occurrence. Here we demonstrate the crucial role of an interior crisis in the emergence of extreme events. In parameter space we identify this interior crisis as the organizing center of the dynamics by employing concepts of mixed-mode oscillations and of leaking chaotic systems. We find that extreme events occur in certain regions in parameter space, and we show the robustness of this phenomenon with respect to the system size.
具有不同耦合拓扑结构的菲茨休-纳古莫单元系统能够自发生成并终止与其常规动力学的强烈偏差，由于这些偏差的稀有性和反复出现，可将其视为极端事件。在此，我们证明了内部危机在极端事件出现过程中的关键作用。在参数空间中，我们通过运用混合模式振荡和泄漏混沌系统的概念，将这种内部危机识别为动力学的组织中心。我们发现极端事件发生在参数空间的某些区域，并且我们展示了这一现象相对于系统规模的稳健性。
