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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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.
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 of positive characteristic (for ) or for any Dedekind domain of positive characteristic (but only for ), we give a closed formula for a set of all possible cycle-lengths for polynomial mappings in . Then we give a new property of sets , 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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On elementary moves that generate all spherical latin trades
Aleš Drápal (2009)
Commentationes Mathematicae Universitatis Carolinae
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We show how to generate all spherical latin trades by elementary moves from a base set. If the base set consists only of a single trade of size four and the moves are applied only to one of the mates, then three elementary moves are needed. If the base set consists of all bicyclic trades (indecomposable latin trades with only two rows) and the moves are applied to both mates, then one move suffices. Many statements of the paper pertain to all latin trades, not only to spherical ones. ...
The XVI-th Hilbert problem about limit cycles
Henryk Żołądek (1995)
Banach Center Publications
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1. Introduction. The XVI-th Hilbert problem consists of two parts. The first part concerns the real algebraic geometry and asks about the topological properties of real algebraic curves and surfaces. The second part deals with polynomial planar vector fields and asks for the number and position of limit cycles. The progress in the solution of the first part of the problem is significant. The classification of algebraic curves in the projective plane was solved for degrees less than 8....