Like-linearizations of vector fields
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Abstract
We characterize the n-dimensional vector fields (with or without null linear parts) which can be transformed, under conjugation or orbital equivalence, into their quasi-homogeneous parts of minimum degree and, therefore, have the same dynamics. We give several examples of nilpotent and degenerate systems
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Algaba, A., García, C., & Reyes, M. (2009). Like-linearizations of vector fields. Bulletin Des Sciences Mathématiques, 133(8), 806–816. https://doi.org/10.1016/j.bulsci.2009.09.006
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