Now showing items 1-10 of 14
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 ...
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 ...
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. ...
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]
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 ...
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 = ...
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.
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.