Now showing items 1-5 of 5
Limit cycles bifurcating from the periodic annulus of cubic homogeneous polynomial centers
(Electronic Journal of Differential Equations, 2015-10-21) [Artigo]
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
(Qualitative Theory of Dynamical Systems, 2014-04-01) [Artigo]
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) - ...
Limit cycles of cubic polynomial differential systems with rational first integrals of degree 2
(Applied Mathematics And Computation, 2015-01-01) [Artigo]
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 ...
On the periodic solutions of a class of duffing differential equations
(Discrete and Continuous Dynamical Systems- Series A, 2013-01-01) [Artigo]
In this work we study the periodic solutions, their stability and bifurcation for the class of Duffing differential equation mathematical equation represented where C > 0, ε > 0 and Λ are real parameter, A(t), b(t) and ...
Periodic orbits and non-integrability of Armbruster-Guckenheimer-Kim potential
(Astrophysics and Space Science, 2013) [Artigo]
In this paper we study the periodic orbits of the Hamiltonian system with the Armburster-Guckenheimer Kim potential and its C1 non-integrability in the sense of Liouville-Arnold.