Predictability and Suppression of Extreme Events in a Chaotic System
Abstract
In many complex systems, large events are believed to follow power-law, scale-free probability distributions so that the extreme, catastrophic events are unpredictable. Here, we study coupled chaotic oscillators that display extreme events. The mechanism responsible for the rare, largest events makes them distinct, and their distribution deviates from a power law. On the basis of this mechanism identification, we show that it is possible to forecast in real time an impending extreme event. Once forecasted, we also show that extreme events can be suppressed by applying tiny perturbations to the system.
- Publication:
-
Physical Review Letters
- Pub Date:
- November 2013
- DOI:
- 10.1103/PhysRevLett.111.198701
- arXiv:
- arXiv:1301.0244
- Bibcode:
- 2013PhRvL.111s8701D
- Keywords:
-
- 89.75.Da;
- 05.45.Gg;
- 05.45.Xt;
- Systems obeying scaling laws;
- Control of chaos applications of chaos;
- Synchronization;
- coupled oscillators;
- Nonlinear Sciences - Chaotic Dynamics;
- Nonlinear Sciences - Adaptation and Self-Organizing Systems
- E-Print:
- 5 pages, 4 figures, plus supplementary material with additional figures, details and references. This version contains more details about the statistical hypothesis test