Buscar
Mostrando ítems 11-20 de 85
Phase portraits of reversible linear differential systems with cubic homogeneous polynomial nonlinearities having a non-degenerate center at the origin
(2009-12-01)
In this paper we classify the global phase portraits of all reversible linear differential systems with cubic homogeneous polynomial nonlinearities defined in the plane and having a non degenerate center at the origin. The ...
On pairs of polynomial planar foliations
(Juliusz Schauder Ctr Nonlinear StudiesTorunPolónia, 2007)
Phase portraits of quadratic polynomial vector fields having a rational first integral of degree 3
(PERGAMON-ELSEVIER SCIENCE LTD, 2009)
In this paper, we classify all the global phase portraits of the quadratic polynomial vector fields having a rational first integral of degree 3. (C) 2008 Elsevier Ltd. All rights reserved.
Some Results About Global Asymptotic Stability
(2013)
We study the global asymptotic stability of the origin for the continuous and discrete dynamical system associated to polynomial maps in ℝn (especially when n = 3) of the form F = λ I + H, with F(0) = 0, where λ is a real ...
Monotonicity, interlacing and electrostatic interpretation of zeros of exceptional Jacobi polynomials
(Elsevier B.V., 2014-05-01)
Denote by (P) over cap ((alpha,beta))(n) (x) the X-1-Jacobi polynomial of degree n. These polynomials were introduced and studied recently by Gomez-Ullate, Kamran and Milson in a series of papers. In this note we establish ...
Polynomial Differential Systems in R3 Having Invariant Weighted Homogeneous Surfaces
(2018-03-01)
In this paper we give the normal form of all polynomial differential systems in R3 having a weighted homogeneous surface f= 0 as an invariant algebraic surface and characterize among these systems those having a Darboux ...
LIMIT CYCLES BIFURCATING FROM THE PERIODIC ANNULUS OF CUBIC HOMOGENEOUS POLYNOMIAL CENTERS
(Texas State Univ, 2015-10-21)
We obtain an explicit polynomial whose simple positive real roots provide the limit cycles which bifurcate from the periodic orbits of any cubic homogeneous polynomial center when it is perturbed inside the class of all ...
Limit cycles bifurcating from the periodic annulus of cubic homogeneous polynomial centers
(2015-10-21)
We obtain an explicit polynomial whose simple positive real roots provide the limit cycles which bifurcate from the periodic orbits of any cubic homogeneous polynomial center when it is perturbed inside the class of all ...
Periodic perturbations of quadratic planar polynomial vector fields
(Academia Brasileira de Ciências, 2002-06-01)
Neste trabalho são estudadas perturbações periódicas, dependendo de dois parâmetros, de campos vetoriais polinomiais planares que possuem um ciclo heteroclínico infinito, que consiste de uma solução ilimitada, que conecta ...
Lower bounds for the local cyclicity for families of centers
(Elsevier B.V., 2021-02-25)
In this paper, we are interested in how the local cyclicity of a family of centers depends on the parameters. This fact was pointed out in [21], to prove that there exists a family of cubic centers, labeled by C D-31(12) ...