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Ecuador-Perú, una historia común (Conferencia)
(Quito: Universidad Andina Simón Bolívar, Corporación Editora Nacional, Taller de Estudios Históricos., 1996)
Limit cycles for a mechanical system coming from the perturbation of a four-dimensional linear center
(SpringerNew YorkEUA, 2006)
Hyperbolic periodic orbits from the bifurcation of a four-dimensional nonlinear center
(World Scientific Publ Co Pte LtdSingaporeSingapura, 2007)
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 ...
Piecewise smooth dynamical systems: Persistence of periodic solutions and normal forms
(2016-04-05)
We consider an n-dimensional piecewise smooth vector field with two zones separated by a hyperplane σ which admits an invariant hyperplane Ω transversal to σ containing a period annulus A fulfilled by crossing periodic ...
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 ...
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) - ...
Limit Cycles Bifurcating from a Period Annulus in Continuous Piecewise Linear Differential Systems with Three Zones
(World Scientific Publ Co Pte Ltd, 2017-02-01)
We study a class of planar continuous piecewise linear vector fields with three zones. Using the Poincare map and some techniques for proving the existence of limit cycles for smooth differential systems, we prove that ...
DETECTING PERIODIC ORBITS IN SOME 3D CHAOTIC QUADRATIC POLYNOMIAL DIFFERENTIAL SYSTEMS
(Amer Inst Mathematical Sciences-aims, 2016-01-01)
Using the averaging theory we study the periodic solutions and their linear stability of the 3-dimensional chaotic quadratic polynomial differential systems without equilibria studied in [3]. All these differential systems ...