Now showing items 1-5 of 5
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 ...
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 ...
Piecewise smooth dynamical systems: Persistence of periodic solutions and normal forms
(Journal of Differential Equations, 2016-04-05) [Artigo]
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 ...
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 ...
Hopf bifurcation in the full repressilator equations
(Mathematical Methods in the Applied Sciences, 2014) [Artigo]
In this paper, we prove that the full repressilator equations in dimension six undergo a supercritical Hopf bifurcation.