# American Institute of Mathematical Sciences

November  2010, 27(4): 1259-1282. doi: 10.3934/dcds.2010.27.1259

## The vortex core structure inside spherical ferromagnetic particles

 1 CMAP UMR 7641, CNRS, École Polytechnique, Route de Saclay, 91128 Palaiseau Cedex, France 2 Laboratoire de Mathématiques, Université Paris-Sud XI, 91405, Orsay Cedex, France 3 Institute for Applied Mathematics, Endenicher Allee 60, 53115 Bonn, Germany

Received  October 2009 Revised  January 2010 Published  March 2010

We analyze the vortex core structure inside spherical ferromagnetic particles through both a bifurcation analysis and numerical simulations. Based on properties of the solution and simplifying assumptions, specific numerical algorithms are developed. Numerical results are provided showing the applicability of the methods.
Citation: François Alouges, Sylvain Faure, Jutta Steiner. The vortex core structure inside spherical ferromagnetic particles. Discrete & Continuous Dynamical Systems - A, 2010, 27 (4) : 1259-1282. doi: 10.3934/dcds.2010.27.1259
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