Exotic Collatz cycles
John L. Simons (2008)
Acta Arithmetica
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John L. Simons (2008)
Acta Arithmetica
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John Simons, Benne de Weger (2005)
Acta Arithmetica
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Gleiss, Petra M., Leydold, Josef, Stadler, Peter F. (2000)
The Electronic Journal of Combinatorics [electronic only]
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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.
Hong Wang (2012)
Discussiones Mathematicae Graph Theory
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We prove that if G is a graph of order 5k and the minimum degree of G is at least 3k then G contains k disjoint cycles of length 5.
Jordon, Heather (2011)
The Electronic Journal of Combinatorics [electronic only]
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J. Węgrzyn (1971)
Applicationes Mathematicae
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B. Kaufmann (1939)
Compositio Mathematica
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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.
Walden, Byron L. (2005)
International Journal of Mathematics and Mathematical Sciences
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John L. Simons (2008)
Acta Arithmetica
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Alexeev, Boris (2006)
The Electronic Journal of Combinatorics [electronic only]
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E. Kolasińska (1980)
Applicationes Mathematicae
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