Results 231 to 240 of about 23,170 (262)

Phase portraits of the quadratic vector fields with a polynomial first integral

Rendiconti del Circolo Matematico di Palermo, 2006
The main goal of the paper is the topological classification of the phase portraits of quadratic vector fields having a polynomial first integral. By using the compactification of Poincaré it is proved that all such fields are topologically equivalent to the one of \(25\) phase portraits on the Poincaré disc.
García, Belén, Llibre, Jaume, Pérez del Río, Jesús S.   +2 more
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QUADRATIC VECTOR FIELDS EQUIVARIANT UNDER THE D₂ SYMMETRY GROUP

International Journal of Bifurcation and Chaos, 2013
Symmetry often plays an important role in the formation of complicated structures in the dynamics of vector fields. Here, we study a specific family of systems defined on ℝ3, which are invariant under the D2 symmetry group. Under the assumption that they are polynomial of degree at most two, they belong to a two-parameter family of vector fields ...
Stavros Anastassiou, Spyros Pnevmatikos, Tassos Bountis   +2 more
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Twelve Limit Cycles in 3D Quadratic Vector Fields with Z3 Symmetry

International Journal of Bifurcation and Chaos, 2018
This paper is concerned with the number of limit cycles bifurcating in three-dimensional quadratic vector fields with [Formula: see text] symmetry. The system under consideration has three fine focus points which are symmetric about the [Formula: see text]-axis.
Laigang Guo, Pei Yu, Yufu Chen
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Quadratic vector fields with finitely many periodic orbits

1983
We prove that vector fields outside an algebraic hypersurface in the space of coefficients of quadratic vector fields in the plane have a finite number of periodic orbits.
J. Sotomayor, R. Paterlini
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Elliptic hydrodynamics and quadratic algebras of vector fields on a torus

Theoretical and Mathematical Physics, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Structurally stable quadratic vector fields

Memoirs of the American Mathematical Society, 1998
Joan C. Artés, Robert E. Kooij, Jaume Llibre   +2 more
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Single-Variable Quadratic Systems with a Self-Univariate Quadratic Vector Field

2023
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Product-Bivariate Quadratic Systems with a Non-Self-Univariate Quadratic Vector Field

2023
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Quadratic surface support vector machine with L1 norm regularization

Journal of Industrial and Management Optimization, 2022
Alvin Lim, Zheming Gao
exaly  

Abelian integrals for quadratic vector fields.

Journal für die reine und angewandte Mathematik (Crelles Journal), 1987
openaire   +1 more source