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Corrigendum to “Lotka–Volterra systems satisfying a strong Painlevé property” [Phys. Lett. A 380 (47) (2016) 3977–3982]
Physics Letters A 381 (2017) 3843
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Physics Letters A www.elsevier.com/locate/pla
Corrigendum
Corrigendum to “Lotka–Volterra systems satisfying a strong Painlevé property” [Phys. Lett. A 380 (47) (2016) 3977–3982] Tassos Bountis a,∗ , Pol Vanhaecke b a b
Center for Research and Applications of Nonlinear Systems, University of Patras, 26500 Patras, Greece Laboratoire de Mathématiques et Applications, UMR 7348 du CNRS, Université de Poitiers, 86962 Futuroscope Chasseneuil Cedex, France
a r t i c l e
i n f o
Article history: Received 23 September 2017 Accepted 10 October 2017 Available online 13 October 2017 Communicated by A.P. Fordy
a b s t r a c t The comment made after the proof of Proposition 3.3, in our paper [T. Bountis, P. Vanhaecke, Lotka– Volterra systems satisfying a strong Pailevé property, Phys. Lett. A 380 (47) (2016) 3977–3982], saying that the proposition can be generalized when linear terms are added to the Lotka–Volterra systems considered in the paper, is wrong. In general such deformed systems are not even Hamiltonian. © 2016 Elsevier B.V. All rights reserved.
Keywords: Integrable Lotka–Volterra systems Strong Painlevé property
1. Correction In our paper we made a hasty comment after the proof of Proposition 3.3, saying that the proposition can be generalized in case linear terms are added to the Lotka–Volterra systems that we consider. This statement is wrong. In general these deformations are neither Hamiltonian, Liouville integrable nor solvable by quadratures. It is however true, as we stated, that the addition of these terms destroys the Painlevé property (P1). This isolated error has no consequence for the rest of the paper.
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DOI of original article: https://doi.org/10.1016/j.physleta.2016.09.034. Corresponding author. E-mail addresses: [email protected] (T. Bountis), [email protected] (P. Vanhaecke).
https://doi.org/10.1016/j.physleta.2017.10.017 0375-9601/© 2016 Elsevier B.V. All rights reserved.
Contents lists available at ScienceDirect
Physics Letters A www.elsevier.com/locate/pla
Corrigendum
Corrigendum to “Lotka–Volterra systems satisfying a strong Painlevé property” [Phys. Lett. A 380 (47) (2016) 3977–3982] Tassos Bountis a,∗ , Pol Vanhaecke b a b
Center for Research and Applications of Nonlinear Systems, University of Patras, 26500 Patras, Greece Laboratoire de Mathématiques et Applications, UMR 7348 du CNRS, Université de Poitiers, 86962 Futuroscope Chasseneuil Cedex, France
a r t i c l e
i n f o
Article history: Received 23 September 2017 Accepted 10 October 2017 Available online 13 October 2017 Communicated by A.P. Fordy
a b s t r a c t The comment made after the proof of Proposition 3.3, in our paper [T. Bountis, P. Vanhaecke, Lotka– Volterra systems satisfying a strong Pailevé property, Phys. Lett. A 380 (47) (2016) 3977–3982], saying that the proposition can be generalized when linear terms are added to the Lotka–Volterra systems considered in the paper, is wrong. In general such deformed systems are not even Hamiltonian. © 2016 Elsevier B.V. All rights reserved.
Keywords: Integrable Lotka–Volterra systems Strong Painlevé property
1. Correction In our paper we made a hasty comment after the proof of Proposition 3.3, saying that the proposition can be generalized in case linear terms are added to the Lotka–Volterra systems that we consider. This statement is wrong. In general these deformations are neither Hamiltonian, Liouville integrable nor solvable by quadratures. It is however true, as we stated, that the addition of these terms destroys the Painlevé property (P1). This isolated error has no consequence for the rest of the paper.
*
DOI of original article: https://doi.org/10.1016/j.physleta.2016.09.034. Corresponding author. E-mail addresses: [email protected] (T. Bountis), [email protected] (P. Vanhaecke).
https://doi.org/10.1016/j.physleta.2017.10.017 0375-9601/© 2016 Elsevier B.V. All rights reserved.