Results 241 to 250 of about 180,889 (278)

Geometry of the doubly periodic Aztec dimer model

Communications of the American Mathematical Society, 2023
The purpose of the present work is to provide a detailed asymptotic analysis of the k × ℓ k\times \ell doubly periodic Aztec diamond dimer model of growing size for any k k and ℓ \ell and under mild conditions on the ...
Tomas Berggren, A. Borodin
semanticscholar   +1 more source

The Bourbaki degree of a plane projective curve

Transactions of the American Mathematical Society
Bourbaki sequences and Bourbaki ideals have been studied by several authors since its inception sixty years ago circa. Generic Bourbaki sequences have been thoroughly examined by the senior author with B. Ulrich and W.
Marcos Jardim, Abbas Nasrollah Nejad, A. Simis   +2 more
semanticscholar   +1 more source

Algebraic invariants of certain projective monomial curves

Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, 2019
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Javanbakht, Masoumeh, Sharifan, Leila
openaire   +2 more sources

Invariant algebraic curves and conditions for a centre

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1994
Conditions for the existence of a centre in two-dimensional systems are considered along the lines of Darboux. We show how these methods can be used in the search for maximal numbers of bifurcating limit cycles. We also extend the method to include more degenerate cases such as are encountered in less generic systems.
openaire   +2 more sources

On the Number of Algebraic Invariant Curves of Polynomial Vector Fields

Differential Equations, 2004
Consider the autonomous system \[ \frac{dx}{dt} = P(x,y), \;\frac{dy}{dt} = Q(x,y),\tag{1} \] in the plane, where \(P\) and \(Q\) are coprime polynomials and \(\max (\deg P, \deg Q)=n.\) The author proves that if the set of trajectories of (1) contains only finitely many pairwise disjoint algebraic curves irreducible over the field of complex numbers ...
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An invariance property of algebraic curves inP 2 (R)

Rendiconti del Circolo Matematico di Palermo, 1984
In a sequel to [2] the authors study algebraic curves in |R2 which are mapped into themselves by the reflection-inversionS(y):=−||y||−2y(y(yɛ|R2{(0,0)}), a birational transformation of the plane. It is shown that every curve with this property is, essentially, the combined image of two homeomorphic models of a real projective algebraic curve in the ...
Siegfried K. Grosser, Wolfgang N. Herfort   +1 more
openaire   +1 more source

Global Phase Portraits of Quadratic Systems with a Complex Ellipse as Invariant Algebraic Curve

, 2018
J. Llibre, C. Valls
semanticscholar   +1 more source

Number of Limit Cycles for Planar Systems with Invariant Algebraic Curves

Qualitative Theory of Dynamical Systems, 2023
Armengol Gasull, Hector Giacomini
exaly  

A characterization of the generalized Liénard polynomial differential systems having invariant algebraic curves

Chaos, Solitons and Fractals, 2022
Jaume Gine, Jaume Llibre
exaly  

An Algorithm for Finding Invariant Algebraic Curves of a Given Degree for Polynomial Planar Vector Fields

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 2005
G. Swirszcz
semanticscholar   +1 more source