The easiest polynomial differential systems in R^3 having an invariant cylinder
DOI:
https://doi.org/10.17398/Keywords:
Polynomial differential systems in R3, hyperbolic cylinder, parabolic cylinder, elliptic cylinderAbstract
This paper answers the following two questions: What are the easiest polynomial differential systems in R3 having an invariant hyperbolic, parabolic or elliptic cylinder?, and for such polynomial differential systems what are their phase portraits on such invariant cylinders?
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