A class of non-integrable systems admitting an inverse integrating factor

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Abstract

We study the existence of an inverse integrating factor for a class of systems, in general non-integrable, whose lowest-degree quasi-homogeneous term is a Hamiltonian system and its Hamiltonian function only has simple factors over C[x; y].

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Algaba, A., Fuentes, N., García, C., & Reyes, M. (2014). A class of non-integrable systems admitting an inverse integrating factor. In Journal of Mathematical Analysis and Applications (Vol. 420, Issue 2, pp. 1439–1454). Elsevier BV. https://doi.org/10.1016/j.jmaa.2014.06.047

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