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Periodic orbits and non-integrability of Armbruster-Guckenheimer-Kim potential
(2013)
In this paper we study the periodic orbits of the Hamiltonian system with the Armburster-Guckenheimer Kim potential and its C1 non-integrability in the sense of Liouville-Arnold.
On the existence of periodic orbits and KAM tori in the Sprott A system: a special case of the Nosé–Hoover oscillator
(2018-05-01)
We consider the well-known Sprott A system, which is a special case of the widely studied Nosé–Hoover oscillator. The system depends on a single real parameter a, and for suitable choices of the parameter value, it is shown ...
Periodic solutions of resonant systems with rapidly rotating nonlinearities
(Amer Inst Mathematical Sciences, 2011-06)
We obtain existence of T -periodic solutions to a second order system of ordinary differential equations of the form u´´ + cu´ + g(u) = p where c ∈ R, p ∈ C(R,R^N) is T -periodic and has mean value zero, and g ∈ ...
A contribution for nonlinear structural dynamics characterization of cantilever beams
(2005-12-01)
Successful experiments in nonlinear vibrations have been carried out with cantilever beams under harmonic base excitation. A flexible slender cantilever has been chosen as a convenient structure to exhibit modal interactions, ...
Center boundaries for planar piecewise-smooth differential equations with two zones
(2017-01-01)
This paper is concerned with 1-parameter families of periodic solutions of piecewise smooth planar vector fields, when they behave like a center of smooth vector fields. We are interested in finding a separation boundary ...
An analysis of Generalized Symmetrical Components in non sinusoidal three phase systems
(2011-12-28)
This paper presents the study of the so called Generalized Symmetrical Components, proposed by Tenti et. al. to the analysis of unbalanced periodic non sinusoidal three phase systems. As a result, it was possible to establish ...