On the integrability of the n-centre problem

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dc.creatorKnauf, Andreas
dc.creatorTaimanov, Iskander A.
dc.date2004-01-16
dc.date.accessioned2026-07-07T05:04:37Z
dc.date.available2026-07-07T05:04:37Z
dc.descriptionIt is known that for $n \geq 3$ centres and positive energies the $n$-centre problem of celestial mechanics leads to a flow with a strange repellor and positive topological entropy. Here we consider the energies above some threshold and show: Whereas for arbitrary $g >1$ independent integrals of Gevrey class $g$ exist, no real-analytic (that is, Gevrey class 1) independent integral exists.
dc.description22 pages, a short announcement see in math.DS/0312429
dc.identifierhttps://arxiv.org/abs/math/0401202
dc.identifierhttp://arxiv.org/abs/math/0401202
dc.identifierMathematische Annalen 331 (2005), 631--649
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/69873
dc.subjectDynamical Systems
dc.subjectMathematical Physics
dc.titleOn the integrability of the n-centre problem
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