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Regularization of discontinuous vector fields on R-3 via singular perturbation
(Springer, 2007-06-01)
Singular perturbations problems in dimension three which are approximations of discontinuous vector fields are studied in this paper. The main result states that the regularization process developed by Sotomayor and Teixeira ...
Singular perturbation problems for time-reversible systems
(Amer Mathematical Soc, 2005-01-01)
In this paper singularly perturbed reversible vector fields defined in R-n without normal hyperbolicity conditions are discussed. The main results give conditions for the existence of infinitely many periodic orbits and ...
Limit cycles for singular perturbation problems via inverse integrating factor
(2008-12-01)
In this paper singularly perturbed vector fields Xε defined in ℝ2 are discussed. The main results use the solutions of the linear partial differential equation XεV = div(Xε)V to give conditions for the existence of limit ...
Subcritical perturbations of a singular quasilinear elliptic equation involving the critical Hardy–Sobolev exponent
(Nonlinear Analysis: Theory, Methods & Applications, 2018)
Regularization and singular perturbation techniques for non-smooth systems
(Elsevier B.V., 2012-11-15)
This paper is concerned with some aspects of the qualitative-geometric theory of non-smooth systems. We present a survey of the state of the art on the connection between the regularization process of nonsmooth vector ...
Synchronization and Non-Smooth Dynamical Systems
(Springer, 2012-03-01)
In this article we establish an interaction between non-smooth systems, geometric singular perturbation theory and synchronization phenomena. We find conditions for a non-smooth vector fields be locally synchronized. ...
Implicit differential equations with impasse singularities and singular perturbation problems
(Hebrew Univ Magnes Press, 2012-06-01)
This paper concerns families of constrained differential systems having the form {fx1-1} where h: a"e (n) -> a"e is a C (r) -function, (alpha (1), aEuro broken vertical bar, alpha (n) ) is a C (r) vector field on a"e (n) ...
Approximate solutions to singular perturbation problems: The intermediate variable technique
(ElsevierBrasilNúcleo Interdisciplinar de Dinâmica dos Fluidos, 2019)
Singularly perturbed biharmonic problems with superlinear nonlinearities
(Khayyam Publ Co Inc, 2014)