aFaculdade de Matemática, UFU, 38400-902 Uberlândia, MG, Brazil;bDepartamento de Estatística, Matemática Aplicada e Computação, Instituto de Geociências e Ciências Exatas, CP 178, UNESP, 13500-230 Rio Claro, SP, Brazil
Abstract:
In this paper we search for the dynamics of a simple portal structure in the free and in the periodic excitation cases. By using the Center Manifold approach and Averaging Method, we obtain results on both stability and bifurcation of equilibrium points and periodic orbits.