Results 241 to 250 of about 23,327 (265)

Structure and Stability of Gradient Polynomial Vector Fields

Journal of the London Mathematical Society, 1990
A nonlinear Morse-Smale polynomial vector field on the plane need not be structurally stable with respect to perturbation in the set of \(C^ r\) vector fields (Whitney \(C^ r\) topology). By determining the special structure of ``saddles-at-infinity'', it is proved that in the gradient case, the Morse-Smale conditions do imply structural stability in ...
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Complete polynomial vector fields in a ball

2004
Summary: We describe the complete polynomial vector fields in the unit ball of a Euclidean space.
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On the polynomial vector fields on S^2

2011
Agraïments: The second author is partially supported by the Spanish grant SAB2005-0029, NSF of China (No. 10871214) and Program for New Century Excellent Talents in University.
Llibre, Jaume, Zhao, Yulin
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On the limit cycles of polynomial vector field

2011
In this paper we study the limit cycles which can bifurcate from the periodic orbits of the center located at the origin of the quadratic polynomial differential system x˙ = -y(1+x), y˙ = x(1+x), and of the cubic polynomial differential system x˙ = -y(1-x2 -y 2 ), y˙ = x(1 - x2 - y 2 ), when we perturb them in the class of all polynomial vector fields ...
Llibre, Jaume, Swirszcz, Grzegorz
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Polynomial and quasi-polynomial vector fields

2001
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A globally asymptotically stable polynomial vector field with rational coefficients and no local polynomial Lyapunov function

Systems and Control Letters, 2018
Bachir EL KHADIR, Amir Ali Ahmadi
exaly  

A polynomial vector field with singular points only of Poincaré type

Functional Analysis and Its Applications, 1984
Yu S Il'Yashenko
exaly  

Classification of complex polynomial vector fields in one complex variable

Journal of Difference Equations and Applications, 2010
Kealey Dias, Bodil Branner
exaly  

Phase portraits for quadratic homogeneous polynomial vector fields on S2 \mathbb{S}^2

Rendiconti Del Circolo Matematico Di Palermo, 2010
Claudio Pessoa, Jaume Llibre
exaly  

Invariant circles for homogeneous polynomial vector fields on the 2-dimensional sphere

Rendiconti Del Circolo Matematico Di Palermo, 2006
Claudio Pessoa, Jaume Llibre
exaly