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Integrability of a nuclear spin generator

✍ Scribed by Claudia Valls

Publisher: Elsevier Science
Year: 2011
Tongue: French
Weight: 93 KB
Volume: 135
Category: Article
ISSN: 0007-4497
DOI: 10.1016/j.bulsci.2011.04.004

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✦ Synopsis

In this work we consider a nuclear spin generator given by

where α, β, κ are nonnegative parameters. It models the two temperature feedback nuclear reactor problem as model by Vreeke and Sandquist (1970) [4]. We contribute to the understanding of its global dynamics, or more precisely, to the topological structure of its orbits by studying the integrability problem. We prove that β = 0 or β = 0 and κ = 0 are the only values of the parameters for which the system is integrable, and in this case we provide an explicit expression for its first integrals.

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