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

作者：Algaba A; Fuentes N; Garcia C; Reyes M^*

来源：Journal of Mathematical Analysis and Applications, 2014, 420(2): 1439-1454.

DOI：10.1016/j.jmaa.2014.06.047

• Integrability
• Inverse integrating factor
• Orbital equivalent normal form

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].