GENERALIZED EXTREME VALUE DISTRIBUTION PARAMETERS AS DYNAMICAL INDICATORS OF STABILITY-Reference-Cited by-同舟云学术

GENERALIZED EXTREME VALUE DISTRIBUTION PARAMETERS AS DYNAMICAL INDICATORS OF STABILITY

Published:2012-11 Issue:11 Volume:22 Page:1250276
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

FARANDA DAVIDE¹²,LUCARINI VALERIO¹²,TURCHETTI GIORGIO³,VAIENTI SANDRO⁴

Affiliation:

1. Klimacampus, Universität Hamburg, Grindelberg 5, 20144, Hamburg, Germany

2. Department of Mathematics and Statistics, University of Reading, Whiteknights, P. O. Box 220, Reading RG6 6AX, UK

3. Department of Physics, University of Bologna, INFN-Bologna, Via Irnerio 46, Bologna 40126, Italy

4. UMR-6207, Centre de Physique Théorique, CNRS, Universités d'Aix-Marseille I, II, Université du Sud Toulon-Var and FRUMAM, (Fédération de Recherche des Unités de Mathématiques de Marseille), CPT, Luminy, Case 907, 13288 Marseille Cedex 09, France

Abstract

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127412502768

Reference32 articles.

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2. Statistics of Poincaré recurrences for a class of smooth circle maps

3. Phase space structure of multi-dimensional systems by means of the mean exponential growth factor of nearby orbits

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