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Limit cycles bifurcating from a k-dimensional isochronous center contained in R-n with k <= n
(SpringerDordrechtHolanda, 2007)
Limit cycles bifurcating from a two-dimensional isochronous cylinder
(Pergamon-elsevier Science LtdOxfordInglaterra, 2009)
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 ...
Limit Cycles for a Class of Continuous and Discontinuous Cubic Polynomial Differential Systems
(Springer, 2014-04-01)
We study the maximum number of limit cycles that bifurcate from the periodic solutions of the family of isochronous cubic polynomial centers(x) over dot = y(-1 + 2 alpha x + 2 beta x(2)), (y) over dot = x + alpha(y(2) - ...
Classificação de centros Hamiltonianos polinomiais biquadrados, e isocronicidade trivial versus formas canônicas para aplicações polinomiais no plano de Jacobiano unitário
(Universidade Federal de São CarlosUFSCarPrograma de Pós-Graduação em Matemática - PPGMCâmpus São Carlos, 2022-10-10)
This work, we classify a non- degenerate center at the origin of a planar Hamiltonian system associated to a function of the form $H(x,y)=A(x)+B(x)y^2 + C(x)y^4$, where $A$, $B$ and $C$ are polynomials. After seing a ...
Piecewise linear perturbations of a linear center
(2013-09-01)
This paper is mainly devoted to the study of the limit cycles that can bifurcate from a linear center using a piecewise linear perturbation in two zones. We consider the case when the two zones are separated by a straight ...
Piecewise linear perturbations of a linear center
(2013-09-01)
This paper is mainly devoted to the study of the limit cycles that can bifurcate from a linear center using a piecewise linear perturbation in two zones. We consider the case when the two zones are separated by a straight ...
Limit cycles of cubic polynomial differential systems with rational first integrals of degree 2
(Elsevier B.V., 2015-01-01)
The main goal of this paper is to study the maximum number of limit cycles that bifurcate from the period annulus of the cubic centers that have a rational first integral of degree 2 when they are perturbed inside the class ...
An estimation for the number of limit cycles in a Liénard-like perturbation of a quadratic nonlinear center
(SpringerDordrecht, 2015-01)
The number of limit cycles which bifurcates from periodic orbits of a differential system with a center has been extensively studied recently using many distinct tools. This problem was proposed by Hilbert in 1900, and it ...