Display Abstract

Title Fractional Stochastic Differential Equations and Space Weather

Name James Wanliss
Country USA
Email wanliss@gmail.com
Co-Author(s) V.V. Anh, Z.-G. Yu, Y. Wang, D. Mao
Submit Time 2014-03-31 14:15:10
Contents
Space weather involves the complex solar-terrestrial plasma and electrodynamic interactions at altitudes above 80-km around the earth. In this paper we explore the characteristics and develop a stochastic model for the horizontal component of the geomagnetic field at 22 stations of the global magnetic observatory framework called INTERMAGNET. Our model is in the form of a fractional stochastic differential equation. We estimate model parameters on the basis of observations and cluster the data in terms of the degree of fractional differentiation and the alpha-stability coefficient. We find different clusters corresponding to geomagnetic latitudes which map to regions in the magnetosphere with vastly different physics in operation.