Title of article
The Michelson system is neither global analytic, nor Darboux integrable
Author/Authors
Llibre، نويسنده , , Jaume and Valls، نويسنده , , Clàudia، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2010
Pages
6
From page
414
To page
419
Abstract
We consider the differential system x ̇ = y , y ̇ = z , z ̇ = c 2 − y − x 2 / 2 in R 3 , 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.
Keywords
Rational integrability , Darboux integrability , Michelson system , Exponential factors , Darboux polynomials , Analytic integrability , Polynomial integrability
Journal title
Physica D Nonlinear Phenomena
Serial Year
2010
Journal title
Physica D Nonlinear Phenomena
Record number
1729313
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