On cycles of polynomials with integral rational coefficients
Zuzana Divišová (2002)
Mathematica Slovaca
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Zuzana Divišová (2002)
Mathematica Slovaca
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Władysław Narkiewicz (2002)
Journal de théorie des nombres de Bordeaux
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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 and shall describe polynomial cycles in the case when is either odd or twice a prime.
Edward G. Belaga (2003)
Acta Arithmetica
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T. Pezda (2003)
Acta Arithmetica
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Naeem Alkoumi, Pedro J. Torres (2011)
Czechoslovak Mathematical Journal
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New results are proved on the maximum number of isolated -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.
John L. Simons (2008)
Acta Arithmetica
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Petra Konečná (2006)
Czechoslovak Mathematical Journal
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Let be a finite commutative ring with unity. We determine the set of all possible cycle lengths in the ring of polynomials with rational integral coefficients.
Gleiss, Petra M., Leydold, Josef, Stadler, Peter F. (2000)
The Electronic Journal of Combinatorics [electronic only]
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Feng, Hanying, Xu, Rui, Liu, Qiming, Yang, Pinghua (2003)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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