Now showing items 1-10 of 11
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. ...
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 of DISCONTINUOUS PIECEWISE LINEAR DIFFERENTIAL SYSTEMS
(International Journal of Bifurcation and Chaos, 2011-11-01) [Artigo]
We study the bifurcation of limit cycles from the periodic orbits of a two-dimensional (resp. four-dimensional) linear center in R(n) perturbed inside a class of discontinuous piecewise linear differential systems. Our ...
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. ...
Sliding vector fields for non-smooth dynamical systems having intersecting switching manifolds
(Nonlinearity, 2015-02-01) [Artigo]
We consider a differential equation p over dot = X(p), p is an element of R-3, with discontinuous right-hand side and discontinuities occurring on a set Sigma. We discuss the dynamics of the sliding mode which occurs when, ...
The Hopf bifurcation in the Shimizu-Morioka system
(Nonlinear Dynamics, 2015-02-01) [Artigo]
We study the local Hopf bifurcations of codimension one and two, which occur in the Shimizu-Morioka system. This system is a simplified model proposed for studying the dynamics of the well-known Lorenz system for large ...
A survey on the set of periods of the graph homeomorphisms
(Qualitative Theory Of Dynamical Systems, 2015-04-01) [Artigo]
In this paper we summarize the known results on the possible sets of periods of homeomorphisms defined on some classes of finite connected compact graphs, and we present new results.
On the number of limit cycles in discontinuous piecewise linear differential systems with two pieces separated by a straight line
(Journal Of Mathematical Analysis And Applications, 2015-04-01) [Artigo]
In this paper we study the maximum number N of limit cycles that can exhibit a planar piecewise linear differential system formed by two pieces separated by a straight line. More precisely, we prove that this maximum number ...
No periodic orbits for the type A Bianchi's systems
(Journal Of Nonlinear Mathematical Physics, 2015-01-01) [Artigo]
It is known that the 6 models of Bianchi class A have no periodic solutions. In this article we provide a new, direct, unified and easier proof of this result.