Results 271 to 280 of about 12,423 (291)

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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On the isoclines of polynomial vector fields

Siberian Mathematical Journal, 1994
The author considers autonomous systems (1) \(\dot x = P(x,y)\), \(\dot y = Q(x,y)\) with \(\{P(x,y), Q(x,y)\}\) a polynomial vector field. He proves the following results. Theorem 1. Assume \(P(x,y) = P_m (x,y) + P_n (x,y)\), \(Q(x,y) = Q_m (x,y) + Q_n (x,y)\) with \(m,n > 0\) and \(P_m\), \(Q_m\) and \(P_n\), \(Q_n\) homogeneous polynomials of degree
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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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Poincaré Compactification of Hamiltonian Polynomial Vector Fields

1995
There exists an extensive literature on changes of variables which transform the equations of motion of interesting problems in Celestial Mechanics into polynomial form (see [Heg]). In most cases this is achieved by regularizing double collisions or introducing redundant variables, or both.
J. Delgado, E. A. Lacomba, J. Llibre, E. Pérez   +3 more
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An efficient method for computing Liouvillian first integrals of planar polynomial vector fields

Journal of Differential Equations, 2021
Luis antonio da Mota
exaly  

Local cyclicity in low degree planar piecewise polynomial vector fields

Nonlinear Analysis: Real World Applications, 2021
Joan Torregrosa
exaly  

Mapping transcriptomic vector fields of single cells

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

Detecting singular patterns in 2D vector fields using weighted Laurent polynomial

Pattern Recognition, 2012
Eraldo Ribeiro
exaly  

Classification of complex polynomial vector fields in one complex variable

Journal of Difference Equations and Applications, 2010
Kealey Dias
exaly  

Polynomial and quasi-polynomial vector fields

2001
openaire   +1 more source