On the Complete Integrability of the Raychaudhuri Differential System in ℝ4 and of a CRNT Model in ℝ5
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comunitat-uji-handle3:10234/8635
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INVESTIGACIONMetadades
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On the Complete Integrability of the Raychaudhuri Differential System in ℝ4 and of a CRNT Model in ℝ5Data de publicació
2018-04ISSN
1575-5460; 1662-3592Cita bibliogràfica
FERRAGUT, Antoni; VALLS, Claudia. On the Complete Integrability of the Raychaudhuri Differential System in ℝ4 and of a CRNT Model in ℝ5. Qualitative Theory of Dynamical Systems, 2018, vol. 17, no 1, p. 291-307.Tipus de document
info:eu-repo/semantics/articleVersió de l'editorial
https://link.springer.com/article/10.1007%2Fs12346-017-0230-7Versió
info:eu-repo/semantics/submittedVersionParaules clau / Matèries
Resum
We study the Darboux integrability of two differential systems with parameters: the Raychaudhuri equation (a relativistic model in ℝ4 ) and a chemical reaction model in ℝ5 . We prove that the first one is completely ... [+]
We study the Darboux integrability of two differential systems with parameters: the Raychaudhuri equation (a relativistic model in ℝ4 ) and a chemical reaction model in ℝ5 . We prove that the first one is completely integrable and that the first integrals are of Darboux type. This is the first four-dimensional realistic non-trivial model which is completely integrable with first integrals of Darboux type and for which for a full Lebesgue measure set of the values of the parameters the three linearly independent first integrals are rational. For the second one, we find all its Darboux polynomials and exponential factors and we prove that it is not Darboux integrable. [-]
Publicat a
Qualitative Theory of Dynamical Systems, 2018, vol. 17, no 1Proyecto de investigación
Spanish Government: MTM2013-40998-P; Universitat Jaume I Grant: P1-1B2015-16; FCT - Fundacao para a Ciencia e a Tecnologia: PTDC/MAT/117106/2010; CAMGSDDrets d'accés
© Springer International Publishing
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info:eu-repo/semantics/openAccess
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