Results 241 to 250 of about 274,225 (273)

Quadratic vector fields in class I

Dynamical Systems
In [Ye et al., Theory of Limit Cycles, 1986], quadratic systems are classified into three different normal forms (I, II and III) with increasing number of parameters. The simplest family is I and even several subfamilies of it have been studied, and some global attempts have been done, up to this paper, the full study was still undone. In this article,
Artés Ferragud, Joan Carles, Chen, Hebai, Ferrer, Lluc Manel, Jia, Man   +3 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 ...
Anastassiou, Stavros, Pnevmatikos, Spyros, Bountis, Tassos   +2 more
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On the global analysis of the planar quadratic vector fields

Nonlinear Analysis: Theory, Methods & Applications, 1997
Using the concept of intersection multiplicity of projective curves, the author studies bifurcations of planar quadratic Hamiltonian systems (QHC). All bifurcation points (finite or infinite) of such systems are characterized by their intersection multiplicities.
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A Summary of Structurally Stable Quadratic Vector Fields

2018
To make this work self-contained, we are going to summarize in this chapter all the needed results from the paper of Artes et al. (Mem. Am. Math. Soc. 134(639), 1998). For the results of the present paper, the realizable structurally stable quadratic vector fields and the non-realizable ones are very important.
Joan C. Artés, Jaume Llibre, Alex C. Rezende   +2 more
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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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Singular Perturbations Arising in Hilbert's 16th Problem for Quadratic Vector Fields

ZAMM, 1998
The author surveys some approaches to derive results on the maximal number of limit cycles for two-dimensional quadratic vector fields: normal forms, global desingularization, cyclicity of limit periodic sets. As an example the author considers a degenerate logarithmic spiral.
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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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Mapping transcriptomic vector fields of single cells

Cell, 2022
Xiaojie Qiu, Shayan Hosseinzadeh, Angela Pogson   +2 more
exaly  

Single-Variable Quadratic Systems with a Self-Univariate Quadratic Vector Field

2023
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Abelian integrals for quadratic vector fields.

Journal für die reine und angewandte Mathematik (Crelles Journal), 1987
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