2024-03-29T13:42:08Zhttps://repositori.uji.es/oai/requestoai:repositori.uji.es:10234/1745082019-11-18T15:31:28Zcom_10234_7037com_10234_9col_10234_8635
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Ferragut, Antoni
author
Valls, Claudia
author
2018-04
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.
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.
1575-5460
1662-3592
http://hdl.handle.net/10234/174508
https://doi.org/10.1007/s12346-017-0230-7
Darboux polynomial
exponential factor
Darboux integrability
Raychaudhuri equation
chemical reaction network
On the Complete Integrability of the Raychaudhuri Differential System in ℝ4 and of a CRNT Model in ℝ5