Results 21 to 30 of about 99,903 (246)

Arf invariants of real algebraic curves [PDF]

Pacific Journal of Mathematics, 2007
14 ...
openaire   +2 more sources

Quadratic systems with a symmetrical solution

Electronic Journal of Qualitative Theory of Differential Equations, 2018
In this paper we study the existence and uniqueness of limit cycles for so-called quadratic systems with a symmetrical solution: \begin{equation*} \begin{split} \frac{dx(t)}{dt}& = P_2(x,y) \equiv a_{00}+a_{10}x+a_{01}y+a_{20}x^2+a_{11}xy+a_{02}y^2 ...
Andre Zegeling, Robert Kooij
doaj   +1 more source

Vector Fields, Invariant Varieties and Linear Systems [PDF]

, 2000
We investigate the interplay between invariant varieties of vector fields and the inflection locus of linear systems with respect to the vector field. Among the consequences of such investigation we obtain a computational criteria for the existence of ...
Estrada Dona Castorina, Jorge Vitório Pereira, Pura Aplicada   +2 more
core   +3 more sources

Integrability of planar polynomial differential systems through linear differential equations [PDF]

, 2005
In this work, we consider rational ordinary differential equations dy/dx = Q(x,y)/P(x,y), with Q(x,y) and P(x,y) coprime polynomials with real coefficients.
Giacomini, Héctor, Giné, Jaume, Grau, Maite   +2 more
core   +6 more sources

The Ceresa class and tropical curves of hyperelliptic type

Forum of Mathematics, Sigma
We define a new algebraic invariant of a graph G called the Ceresa–Zharkov class and show that it is trivial if and only if G is of hyperelliptic type, equivalently, G does not have as a minor the complete graph on four vertices or the loop of three ...
Daniel Corey, Wanlin Li
doaj   +1 more source

Wetting, Algebraic Curves, and Conformal Invariance

Physical Review Letters
Recent studies of wetting in a two-component square-gradient model of interfaces in a fluid mixture, showing three-phase bulk coexistence, have revealed some highly surprising features. Numerical results show that the density profile paths, which form a tricuspid shape in the density plane, have curious geometric properties, while conjectures for the ...
A. O. Parry, C. Rascón
openaire   +4 more sources

Algebraic Entropy of Birational Maps with Invariant Curves [PDF]

Letters in Mathematical Physics, 1999
11 pages, no ...
openaire   +3 more sources

Higher-order Alexander invariants of plane algebraic curves [PDF]

International Mathematics Research Notices, 2006
a new section 'Examples' is ...
Leidy, Constance, Maxim, Laurentiu
openaire   +2 more sources

Family of quadratic differential systems with invariant parabolas: a complete classification in the space ${\mathbb R}^{12}$

Electronic Journal of Qualitative Theory of Differential Equations
Consider the class ${\bf QS}$ of all non-degenerate planar quadratic differential systems and its subclass ${\bf QSP}$ of all its systems possessing an invariant parabola.
Nicolae Vulpe
doaj   +1 more source

Affine geometry of strata of differentials

, 2017
Affine varieties among all algebraic varieties have simple structures. For example, an affine variety does not contain any complete algebraic curve. In this paper we study affine related properties of strata of $k$-differentials on smooth curves which ...
Chen, Dawei
core   +1 more source