@inbook{10a0d3d3668040da8877c1debb34cb3b,
title = "Chaos in the St{\"o}rmer problem",
abstract = "We survey the few exact results on the St{\"o}rmer problem describing the dynamics of charged particles in the Earth magnetosphere. The analysis of this system leads to the the conclusion that charged particles are trapped in the Earth magnetosphere or escape to infinity, and the trapping region is bounded by a torus-like surface, the Van Allen inner radiation belt. In the trapping region, the motion of the charged particles can be periodic, quasi-period or chaotic. The three main effects observed in the Earth magnetosphere, radiation belts, radiation aurorae and South Atlantic anomaly, are described in the framework described here. We discuss some new mathematical problems suggested by the analysis of the St{\"o}rmer problem.",
keywords = "Chaos, Quasi-periodic motion, St{\"o}rmer problem, Van allen inner radiation belt",
author = "Rui Dil{\~a}o and Rui Alves-Pires",
note = "Publisher Copyright: {\textcopyright} 2007, Birkh{\"a}user Verlag Basel/Switzerland.",
year = "2008",
doi = "10.1007/978-3-7643-8482-1\_14",
language = "English",
series = "Progress in Nonlinear Differential Equations and Their Application",
publisher = "Springer US",
pages = "175--194",
booktitle = "Progress in Nonlinear Differential Equations and Their Application",
address = "United States",
}