Knauf A, Taimanov IA (2005)
Publication Type: Journal article
Publication year: 2005
Publisher: Springer Verlag (Germany)
Book Volume: 331
Pages Range: 631--649
Journal Issue: 3
DOI: 10.1007/s00208-004-0598-y
It is known that for n≥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.
APA:
Knauf, A., & Taimanov, I.A. (2005). On the integrability of the n-centre problem. Mathematische Annalen, 331(3), 631--649. https://doi.org/10.1007/s00208-004-0598-y
MLA:
Knauf, Andreas, and Iskander A. Taimanov. "On the integrability of the n-centre problem." Mathematische Annalen 331.3 (2005): 631--649.
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