Berlin 2018 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 19: Extreme Events

DY 19.2: Talk

Monday, March 12, 2018, 17:45–18:00, BH-N 333

Riddled Basins of Attraction in Systems exhibiting Extreme Events — •Arindam Saha and Ulrike Feudel — ICBM, University of Oldenburg, Germany

Extreme events are rare, recurrent and irregular events which have a large impact on the system. Due to their occurrence in a variety of physical systems including oceans, atmosphere, lasers, ecological communities and financial markets, the existing literature studies their generation mechanisms, impact and possible precursors in detail. However, none of these studies discuss the implications of a system where extreme events are exhibited in a multistable system. In this talk, we investigate the basin structure of a system where extreme events co-exist with a few other possible stable dynamics. To this end, we study a system of two identical FitzHugh-Nagumo oscillators coupled to each other by multiple delay couplings. We show that if extreme events occur in a multistable regime, the phase space may be partitioned into 'pure' and 'mixed' regions, where trajectories starting from the pure regions are certain not to exhibit extreme events; the trajectories starting from the mixed regions may or may not exhibit extreme events. By computing the uncertainty exponent using final state sensitivity method, we verify that the uncertainty exponent tends to zero, which indicates that basin corresponding to extreme events is riddled. We therefore demonstrate the existence of riddled basins of attraction in delay-coupled systems for the first time.