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Lower bounds for the local cyclicity for families of centers
(Elsevier B.V., 2021-02-25)
In this paper, we are interested in how the local cyclicity of a family of centers depends on the parameters. This fact was pointed out in [21], to prove that there exists a family of cubic centers, labeled by C D-31(12) ...
Lower bounds for the local cyclicity of centers using high order developments and parallelization
(Elsevier B.V., 2021-01-15)
We are interested in small-amplitude isolated periodic orbits, so-called limit cycles, surrounding only one equilibrium point, that we locate at the origin. We develop a parallelization technique to study higher order ...
Lyapunov coefficients for an invisible fold-fold singularity in planar piecewise Hamiltonian systems
(2020-04-01)
We study the stability of an invisible fold-fold singularity of planar piecewise smooth Hamiltonian vector fields by computing some kind of Lyapunov coefficients. We obtain the general expressions for the first five Lyapunov ...
Generalized hopf bifurcation in a frequency domain formulation
(World Scientific, 2012-08)
The multiplicity problem of limit cycles arising from a weak focus is addressed. The proposed methodology is a combination of the frequency domain method to handle some degenerate Hopf bifurcations with the powerful tools ...
An Estimation For The Number Of Limit Cycles In A Liénard-like Perturbation Of A Quadratic Nonlinear Center
(Kluwer Academic Publishers, 2014)
Zero-Hopf bifurcation in a Chua system
(2017-10-01)
A zero-Hopf equilibrium is an isolated equilibrium point whose eigenvalues are ±ωi≠0 and 0. In general for a such equilibrium there is no theory for knowing when it bifurcates some small-amplitude limit cycles moving the ...
Estabilidade estrutural, centros e ciclos limite para campos de vetores tridimensionais suaves e suaves por partes com esferas bidimensionais invariantes
(Universidade Estadual Paulista (Unesp), 2022-02-03)
O primeiro objetivo deste trabalho foi estudar problemas relacionados a estabilidade estrutural dentro das classes de campos de vetores suaves por partes e suaves por partes refrativos tridimensionais que admitam integral ...
Local cyclicity in low degree planar piecewise polynomial vector fields
(Elsevier B.V., 2021-08-01)
In this work, we are interested in isolated crossing periodic orbits in planar piecewise polynomial vector fields defined in two zones separated by a straight line. In particular, in the number of limit cycles of small ...
Influência da dor muscular experimental sobre a função mastigatória: análise cinemática e eletromiográfica
(Universidade Federal de Santa MariaBRFonoaudiologiaUFSMPrograma de Pós-Graduação em Distúrbios da Comunicação Humana, 2015-12-14)
This thesis aimed to investigate the effects of experimentally induced jaw-muscle pain on the movements and electromyographic activity of jaw and head-neck during chewing in healthy subjects. Kinematic variables related ...