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Fold, transcritical and pitchfork singularities for time-reversible systems
(World Scientific Publ Co Pte Ltd, 2005-01-01)
This paper deals with a class of singularly perturbed reversible planar vector fields around the origin where the normal hyperbolicity assumption is not assumed. We exhibit conditions for the existence of infinitely many ...
Entropia Topológica positiva de fluxos Lagrangianos do tipo Tonelli
(Universidade Federal de Minas GeraisUFMG, 2017-10-19)
Let be M a smooth manifold of dimension n + 1 and consider a TonelliLagrangian(...) be the set of smooth potentials (...), fixed with C^2-topology. Given a potential (...), consider the flow (...) of the perturbed Lagrangian ...
Local-Activity and Simultaneous Zero-Hopf Bifurcations Leading to Multistability in a Memristive Circuit
(2021-12-15)
In this paper, we consider a memristive circuit consisting of three elements: A passive linear inductor, a passive linear capacitor and an active memristive device. The circuit is described by a four-parameter system of ...
Campos de vetores suaves por partes: aspectos teóricos e aplicações
(Universidade Estadual Paulista (Unesp), 2020-01-22)
Nesta tese abordaremos aspectos qualitativos e dinâmicos de problemas envolvendo campos de vetores suaves por partes, também conhecidos como campos descontínuos. Primeiramente, apresentamos aplicações da teoria de campos ...
Bifurcations Leading to Nonlinear Oscillations in a 3D Piecewise Linear Memristor Oscillator
(World Scientific Publ Co Pte Ltd, 2014-01-01)
In this paper, we make a bifurcation analysis of a mathematical model for an electric circuit formed by the four fundamental electronic elements: one memristor, one capacitor, one inductor and one resistor. The considered ...
Regimes of near-wall vortex dynamics in potential flow through gaps
(2008)
A two-dimensional problem of the motion of a single vortex near an infinite straight wall with singular gaps is solved both analytically, using a point-vortex approach, and numerically based on the method of contour surgery ...
Regimes of near-wall vortex dynamics in potential flow through gaps
(2008)
A two-dimensional problem of the motion of a single vortex near an infinite straight wall with singular gaps is solved both analytically, using a point-vortex approach, and numerically based on the method of contour surgery ...
Periodic perturbations of quadratic planar polynomial vector fields
(Academia Brasileira de Ciências, 2014)