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Sliding mode control in a mathematical model to chemoimmunotherapy: The occurrence of typical singularities
(2020-12-15)
The application of sliding mode control and piecewise smooth vector fields in cancer is an incipient research area. Here we propose a piecewise dynamics to explore chemoimmunotherapeutic strategies. We investigate the ...
Rigidez de una superficie con puntos singularesRigidez de una superficie con puntos singulares
(Universidad de Costa Rica, Centro de Investigación en Matemática Pura y Aplicada (CIMPA), 2006)
Generic Bifurcations of Planar Filippov Systems via Geometric Singular Perturbations
(Belgian Mathematical Soc Triomphe, 2011-01-01)
In this paper we deal with non-smooth vector fields on the plane. We prove that the analysis of their local behavior around certain typical singularities can be treated via singular perturbation theory. In fact, after a ...
Generic Bifurcations of Planar Filippov Systems via Geometric Singular Perturbations
(Belgian Mathematical Soc Triomphe, 2011-01-01)
In this paper we deal with non-smooth vector fields on the plane. We prove that the analysis of their local behavior around certain typical singularities can be treated via singular perturbation theory. In fact, after a ...
Generic bifurcations of planar filippov systems via geometric singular perturbations
(2011-01-01)
In this paper we deal with non-smooth vector fields on the plane. We prove that the analysis of their local behavior around certain typical singularities can be treated via singular perturbation theory. In fact, after a ...
Global analysis of the dynamics of a mathematical model to intermittent HIV treatment
(Springer, 2020-07-09)
The aim of this paper is to study the qualitative dynamics of a piecewise smooth system modeling the intermittent treatment of the human immunodeficiency virus. Typical singularities and closed orbits are observable, and ...
Mathematical model of an antiretroviral therapy to HIV via Filippov theory
(2020-12-15)
This work aims to study some qualitative features of piecewise smooth systems applied to the dynamics of the Human Immunodeficiency Virus (HIV). The application of sliding mode control and strategies of structured treatment ...
Generic Bifurcations of Planar Filippov Systems via Geometric Singular Perturbations
(Belgian Mathematical Soc Triomphe, 2014)
Geometric singular perturbartion theory for non-smooth dynamical systems
(2014)
In this article we deal with singularly perturbed Filippov systems Zε: (1) ˙x = ( F(x, y, ε) if h(x, y, ε) ≤ 0, G(x, y, ε) if h(x, y, ε) ≥ 0, εy˙ = H(x, y, ε), where ε ∈ R is a small parameter, x ∈ Rn, n ≥ 2, and y ∈ R ...
A geometric singular perturbation theory approach to constrained differential equations
(2019-04-01)
This paper is concerned with a geometric study of (n−1)-parameter families of constrained differential systems, where n≥ 2. Our main results say that the dynamics of such a family close to the impasse set is equivalent ...