Results 241 to 250 of about 275,056 (272)
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On the global analysis of the planar quadratic vector fields
Nonlinear Analysis: Theory, Methods & Applications, 1997Using 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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Twelve Limit Cycles in 3D Quadratic Vector Fields with Z3 Symmetry
International Journal of Bifurcation and Chaos, 2018This 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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A Summary of Structurally Stable Quadratic Vector Fields
2018To 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 +2 more
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Quadratic vector fields with finitely many periodic orbits
1983We 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, 1998The 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, 1998Joan C. Artés +2 more
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Single-Variable Quadratic Systems with a Self-Univariate Quadratic Vector Field
2023openaire +1 more source
Abelian integrals for quadratic vector fields.
Journal für die reine und angewandte Mathematik (Crelles Journal), 1987openaire +1 more source
Product-Bivariate Quadratic Systems with a Non-Self-Univariate Quadratic Vector Field
2023openaire +1 more source