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On non-ideal and non-linear portal frame dynamics analysis using Bogoliubov averaging method
(2002-11-01)
We apply the Bogoliubov Averaging Method to the study of the vibrations of an elastic foundation, forced by a Non-ideal energy source. The considered model consists of a portal plane frame with quadratic nonlinearities, ...
On non-ideal and non-linear portal frame dynamics analysis using bogoliubov averaging method
(The Brazilian Society of Mechanical Sciences, 2002)
On the dynamics of free and excited oscillations of a simple portal frame foundation
(Elsevier B.V., 2006-07-01)
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 ...
On the periodic solutions of a class of duffing differential equations
(2013-01-01)
In this work we study the periodic solutions, their stability and bifurcation for the class of Duffing differential equation mathematical equation represented where C > 0, ε > 0 and Λ are real parameter, A(t), b(t) and ...
Limit Cycles for a Class of Continuous and Discontinuous Cubic Polynomial Differential Systems
(Springer, 2014-04-01)
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) - ...
Limit cycles of some polynomial differential systems in dimension 2, 3 and 4, via averaging theory
(Taylor & Francis LtdAbingdonInglaterra, 2008)
Limit cycles of cubic polynomial differential systems with rational first integrals of degree 2
(Elsevier B.V., 2015-01-01)
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 ...
Hyperbolic periodic orbits from the bifurcation of a four-dimensional nonlinear center
(World Scientific Publ Co Pte LtdSingaporeSingapura, 2007)