Universitat de Lleida
In this work is characterized the analytic integrability problem around a nilpotent singularity for differential systems in the plane under generic conditions. The analytic integrability problem is characterized via the existence of a formal inverse integrating factor. The relation between the analytic integrability and the existence of an algebraic inverse integrating factor is also given.
The first and second authors are partially supported by a MINECO/FEDER grant number MTM2014-56272-C2-2 and by the Consejería de Educación y Ciencia de la Junta de Andalucía (projects P12-FQM-1658, FQM-276). The third author is partially supported by a MINECO/FEDER grant number MTM2017-84383-P and by an AGAUR (Generalitat de Catalunya) grant number 2017SRG 1276.
English
Analytic integrability; Nilpotent singular points; Inverse integrating factor
Elsevier
info:eu-repo/grantAgreement/MINECO//MTM2014-56272-C2-2-P/ES/FORMAS NORMALES Y COMPORTAMIENTOS DINAMICOS/
info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MTM2017-84383-P/ES/ORBITAS PERIODICAS E INTEGRABILIDAD EN SISTEMAS DIFERENCIALES CONTINUOS/
Versió postprint del document publicat a https://doi.org/10.1016/j.cnsns.2018.09.018
Communications in Nonlinear Science and Numerical Simulation, 2019, vol. 71, p. 130-140
cc-by-nc-nd (c) Elsevier, 2019
http://creativecommons.org/licenses/by-nc-nd/4.0/
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