Generalized extreme value distribution parameters as dynamical indicators of stability

Faranda, D., Lucarini, V. ORCID: https://orcid.org/0000-0001-9392-1471, Turchetti, G. and Vaienti, S. (2012) Generalized extreme value distribution parameters as dynamical indicators of stability. International Journal of Bifurcation and Chaos, 22 (11). 1250276. ISSN 0218-1274 doi: 10.1142/S0218127412502768

Abstract/Summary

We introduce a new dynamical indicator of stability based on the Extreme Value statistics showing that it provides an insight into the local stability properties of dynamical systems. The indicator performs faster than others based on the iteration of the tangent map since it requires only the evolution of the original systems and, in the chaotic regions, gives further information about the local information dimension of the attractor. A numerical validation of the method is presented through the analysis of the motions in the Standard map.