The Michelson system is neither global analytic, nor Darboux integrable |
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| Authors: | Jaume Llibre |
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| Institution: | a Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193 Bellaterra, Barcelona, Catalonia, Spain
b Departamento de Matemática, Instituto Superior Técnico, 1049-001 Lisboa, Portugal |
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| Abstract: | We consider the differential system  ,  ,  in R3, where c is a real parameter. This differential system is known as the Michelson system and its dynamics has been studied during these last twenty five years but nothing was known up to now on its integrability. We show that for any value of c the Michelson system is neither global analytic, nor Darboux integrable. |
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| Keywords: | Analytic integrability Polynomial integrability Rational integrability Darboux integrability Darboux polynomials Exponential factors Michelson system |
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