A class of differential systems of even degree with exact non-algebraic limit cycles
DOI:
https://doi.org/10.24193/subbmath.2020.3.08Keywords:
Planar polynomial differential system, first integral, non-algebraic limit cycle.Abstract
Up until now all the polynomial differential systems for which non- algebraic limit cycles are known explicitly have degree odd. Here we show that that there are polynomial systems of even degree with explicit no-algebraic limit cycles. To our knowledge, there are no such type of examples in the literature.
Mathematics Subject Classification (2010): 34A05, 34C05, 34C07, 34C25.
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