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Smooth solutions to mixed-order fractional differential systems with applications to stability analysis
(Rocky Mountain Mathematics Consortium, 2019)
Conditions for existence, uniqueness and smoothness of solutions for systems of fractional differential equations of Caputo and/or Riemann-Liouville type having all of them in general and not of the same derivation order ...
Scattering and bound states of fermions in a mixed vector-scalar smooth step potential
(Elsevier B.V., 2014-07-01)
The scattering of a fermion in the background of a smooth step potential is considered with a general mixing of vector and scalar Lorentz structures with the scalar coupling stronger than or equal to the vector coupling. ...
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 ...
Linear smoothed polygonal and polyhedral finite elements
(Wiley, 2017)
The strain smoothing technique over higher order elements and arbitrary polytopes yields less accurate solutions than other techniques such as the conventional polygonal finite element method. In this work, we propose a ...
Birth of limit cycles from a 3D triangular center of a piecewise smooth vector field
(2017-01-01)
We consider a piecewise smooth vector field in R3, where the switching set is on an algebraic variety expressed as the zero of a Morse function.We depart from a model described by piecewise constant vector fields with a ...
Piecewise-Smooth Slow–Fast Systems
(2020-01-01)
We deal with piecewise-smooth differential systems ż= X(z) , z= (x, y) ∈ ℝ× ℝn − 1, with switching occurring in a codimension one smooth surface Σ. A regularization of X is a 1-parameter family of smooth vector fields Xδ,δ ...
Scattering and bound states of fermions in a mixed vector-scalar smooth step potential
(Elsevier B.V., 2014)
Scattering and bound states of fermions in a mixed vector-scalar smooth step potential
(Elsevier B.V., 2014)
Piecewise smooth dynamical systems: Persistence of periodic solutions and normal forms
(2016-04-05)
We consider an n-dimensional piecewise smooth vector field with two zones separated by a hyperplane σ which admits an invariant hyperplane Ω transversal to σ containing a period annulus A fulfilled by crossing periodic ...
Equações diferenciais ordinárias não suaves autônomas e não autônomasAutonomous and non autonomous non smooth ordinary differential equations
(Universidade Estadual Paulista (Unesp), 2016)