Polynomial systems: a lower bound for the weakened 16th Hilbert problem.

Chengzhi Li; Weigu Li; Jaume Llibre; Zhifen Zhang

Displaying similar documents to “Polynomial systems: a lower bound for the weakened 16th Hilbert problem.”

The number of limit cycles of a quintic Hamiltonian system with perturbation.

Atabaigi, Ali, Nyamoradi, Nemat, Zangeneh, Hamid R.Z. (2008)

Balkan Journal of Geometry and its Applications (BJGA)

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Cycles of polynomials in algebraically closed fields of positive characteristic

T. Pezda (1994)

Colloquium Mathematicae

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Cycles of polynomials in algebraically closed fields of positive characteristic (II)

T. Pezda (1996)

Colloquium Mathematicae

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An edge-minimization problem for regular polygons.

Buchholz, Ralph H., De Launey, Warwick (2009)

The Electronic Journal of Combinatorics [electronic only]

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On some issues concerning polynomial cycles

Tadeusz Pezda (2013)

Communications in Mathematics

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We consider two issues concerning polynomial cycles. Namely, for a discrete valuation domain $R$ of positive characteristic (for $N \geq 1$ ) or for any Dedekind domain $R$ of positive characteristic (but only for $N \geq 2$ ), we give a closed formula for a set $𝒞 Y C L (R, N)$ of all possible cycle-lengths for polynomial mappings in $R^{N}$ . Then we give a new property of sets $𝒞 Y C L (R, 1)$ , which refutes a kind of conjecture posed by W. Narkiewicz.

On branches at infinity of a pencil of polynomials in two complex variables

T. Krasiński (1991)

Annales Polonici Mathematici

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Let F ∈ ℂ[x,y]. Some theorems on the dependence of branches at infinity of the pencil of polynomials f(x,y) - λ, λ ∈ ℂ, on the parameter λ are given.

On the approximation of the limit cycles function.

Cherkas, L., Grin, A., Schneider, K.R. (2007)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

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