A note on polynomial cycles

Michal Vavroš

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Displaying similar documents to “A note on polynomial cycles”

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It is shown that the methods established in [HKN3] can be effectively used to study polynomial cycles in certain rings. We shall consider the rings $𝐙 [\frac{1}{N}]$ and shall describe polynomial cycles in the case when $N$ is either odd or twice a prime.

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New results are proved on the maximum number of isolated $T$ -periodic solutions (limit cycles) of a first order polynomial differential equation with periodic coefficients. The exponents of the polynomial may be negative. The results are compared with the available literature and applied to a class of polynomial systems on the cylinder.

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