Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1898608 | Physica D: Nonlinear Phenomena | 2012 | 17 Pages |
Abstract
⺠We study extremes in deterministic chaotic dynamical systems. ⺠We consider observables similar to those found in physical applications. ⺠Extreme value limit laws depend on the fractal dimension and on the local geometry of the observables. ⺠We obtain a formula for the general case and a different formula for the specific case of the Lorenz63 system.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Mark P. Holland, Renato Vitolo, Pau Rabassa, Alef E. Sterk, Henk W. Broer,