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Overview analyzes integrability, center problem, and inverse integrating factors in nilpotent systems, enhancing understanding.
We overview the studies on integrability, the center problem and the existence of inverse integrating factor for a planar differential system with a nilpotent singularity. We analyze the connections among these three concepts and provide several examples to enhance understanding of the topics discussed.
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Algaba et al. (2026) studied this question.
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