Now showing items 1-10 of 15
On the periodic solutions of the static, spherically symmetric Einstein-Yang-Mills equations
(Journal of Mathematical Physics, 2012-12-01) [Artigo]
We prove that the static, spherically symmetric Einstein-Yang-Mills equations do not have periodic solutions when r > 0. (C) 2012 American Institute of Physics. [http://dx.doi.org/10.1063/1.4770046]
Periodic solutions of el nino model through the vallis differential system
(Discrete And Continuous Dynamical Systems, 2014-09-01) [Artigo]
By rescaling the variables, the parameters and the periodic function of the Vallis differential system we provide sufficient conditions for the existence of periodic solutions and we also characterize their kind of stability. ...
Zero-Hopf bifurcation in a Chua system
(Nonlinear Analysis: Real World Applications, 2017-10-01) [Artigo]
A zero-Hopf equilibrium is an isolated equilibrium point whose eigenvalues are ±ωi≠0 and 0. In general for a such equilibrium there is no theory for knowing when it bifurcates some small-amplitude limit cycles moving the ...
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 ...
Sufficient conditions for the existence of periodic solutions of the extended Duffing–Van der Pol oscillator
(International Journal of Computer Mathematics, 2016-08-02) [Artigo]
In this paper, some aspects on the periodic solutions of the extended Duffing–Van der Pol oscillator are discussed. Doing different rescaling of the variables and parameters of the system associated with the extended ...
Global dynamics of stationary solutions of the extended Fisher-Kolmogorov equation
(Journal of Mathematical Physics, 2011-11-01) [Artigo]
In this paper we study the fourth order differential equation d(4)u/dt(4) + q d(2)u/dt(2) + u(3) - u = 0, which arises from the study of stationary solutions of the Extended Fisher-Kolmogorov equation. Denoting x = u, y = ...
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) - ...
On the periodic orbits and the integrability of the regularized Hill lunar problem
(Journal of Mathematical Physics, 2011-08-01) [Artigo]
The classical Hill's problem is a simplified version of the restricted three-body problem where the distance of the two massive bodies (say, primary for the largest one and secondary for the smallest one) is made infinity ...
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 ...
Synchronization and Non-Smooth Dynamical Systems
(Journal of Dynamics and Differential Equations, 2012-03-01) [Artigo]
In this article we establish an interaction between non-smooth systems, geometric singular perturbation theory and synchronization phenomena. We find conditions for a non-smooth vector fields be locally synchronized. ...