Abstract
Usually, the study of differential systems with linear part null is done using quasi-homogeneous expansions of vector fields. Here, we use this technique for analyzing the existence of an inverse integrating factor for generalized nilpotent systems, in general non-integrable, whose lowest-degree quasi-homogeneous term is the Hamiltonian system \(y^{2}\partial _{x} + x^{3}\partial y\).
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Acknowledgements
This work has been partially supported by Ministerio de Ciencia y Tecnología, Plan Nacional I+D+I co-financed with FEDER funds, in the frame of the project MTM2014-56272-C2-02, and by Consejería de Educación y Ciencia de la Junta de Andalucía (FQM-276 and P12-FQM-1658).
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Algaba, A., Fuentes, N., García, C., Reyes, M. (2016). Algebraic Inverse Integrating Factors for a Class of Generalized Nilpotent Systems. In: Ortegón Gallego, F., Redondo Neble, M., Rodríguez Galván, J. (eds) Trends in Differential Equations and Applications. SEMA SIMAI Springer Series, vol 8. Springer, Cham. https://doi.org/10.1007/978-3-319-32013-7_16
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DOI: https://doi.org/10.1007/978-3-319-32013-7_16
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