Zero-Hopf periodic orbit of a quadratic system of differential equations obtained from a third-order differential equation
J Llibre, A Makhlouf - Differential Equations and Dynamical Systems, 2019 - Springer
We study the zero-Hopf bifurcation of the third-order differential equations x^ ′ ′ ′+(a_ 1
x+ a_ 0) x^ ′ ′+(b_ 1 x+ b_ 0) x^ ′+ x^ 2= 0, x ″′+(a 1 x+ a 0) x ″+(b 1 x+ b 0) x′+ x …
x+ a_ 0) x^ ′ ′+(b_ 1 x+ b_ 0) x^ ′+ x^ 2= 0, x ″′+(a 1 x+ a 0) x ″+(b 1 x+ b 0) x′+ x …
Bifurcation of limit cycles from a 4-dimensional center in Rm in resonance 1: N
L Barreira, J Llibre, C Valls - Journal of Mathematical Analysis and …, 2012 - Elsevier
For every positive integer N⩾ 2 we consider the linear differential center x˙= Ax in Rm with
eigenvalues±i,±Ni and 0 with multiplicity m− 4. We perturb this linear center inside the class …
eigenvalues±i,±Ni and 0 with multiplicity m− 4. We perturb this linear center inside the class …
Bifurcation of limit cycles from an n-dimensional linear center inside a class of piecewise linear differential systems
Let n be an even integer. We study the bifurcation of limit cycles from the periodic orbits of
the n-dimensional linear center given by the differential system perturbed inside a class of …
the n-dimensional linear center given by the differential system perturbed inside a class of …
Limit cycles for two classes of control piecewise linear differential systems
We study the bifurcation of limit cycles from the periodic orbits of 2 n–dimensional linear
centers ̇ x= A_0 xx˙= A 0 x when they are perturbed inside classes of continuous and …
centers ̇ x= A_0 xx˙= A 0 x when they are perturbed inside classes of continuous and …
Limit cycles of discontinuous piecewise linear differential systems
We study the bifurcation of limit cycles from the periodic orbits of a two-dimensional (resp.
four-dimensional) linear center in ℝn perturbed inside a class of discontinuous piecewise …
four-dimensional) linear center in ℝn perturbed inside a class of discontinuous piecewise …
Limit Cycles Bifurcating from a 2-Dimensional Isochronous Torus in ℝ3
J Llibre, S Rebollo-Perdomo… - Advanced Nonlinear …, 2011 - degruyter.com
In this paper we illustrate the explicit implementation of a method for computing limit cycles
which bifurcate from a 2-dimensional isochronous set contained in ℝ3, when we perturb it …
which bifurcate from a 2-dimensional isochronous set contained in ℝ3, when we perturb it …
Limit cycles of resonant four-dimensional polynomial systems
We study the bifurcation of limit cycles from four-dimensional centres inside a class of
polynomial differential systems. Our results establish an upper bound for the number of limit …
polynomial differential systems. Our results establish an upper bound for the number of limit …
[PDF][PDF] Limit cycles bifurcated from a center in a three dimensional system
B Sang, B Fercec, QL Wang - Electronic Journal of Differential …, 2016 - ejde.math.txstate.edu
Based on the pseudo-division algorithm, we introduce a method for computing focal values
of a class of 3-dimensional autonomous systems. Using the ϵ1-order focal values …
of a class of 3-dimensional autonomous systems. Using the ϵ1-order focal values …
[HTML][HTML] Bifurcation of limit cycles from a non-smooth perturbation of a two-dimensional isochronous cylinder
Detect the birth of limit cycles in non-smooth vector fields is a very important matter into the
recent theory of dynamical systems and applied sciences. The goal of this paper is to study …
recent theory of dynamical systems and applied sciences. The goal of this paper is to study …
[PDF][PDF] Four limit cycles in a generalized Moon–Rand system with fifth-order perturbation
B Sang, Q Wang, B Fercec - J. Nonlin. Funct. Anal, 2016 - researchgate.net
Based on our previous work for 2-dimensional systems, this paper introduces a method for
computing focal values of a class of 3-dimensional systems, for which the Maple procedures …
computing focal values of a class of 3-dimensional systems, for which the Maple procedures …