Integrability of a nuclear spin generator |
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Authors: | Claudia Valls |
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Affiliation: | Departamento de Matemática, Instituto Superior Técnico, Av. Rovisco Pais 1049-001, Lisboa, Portugal |
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Abstract: | 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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Keywords: | MSC: 34C05 34A34 |
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