Slow–fast analysis of a modified Leslie–Gower model with Holling type I functional response
In this paper, we consider a modified Leslie-type prey–generalist predator system with
piecewise–smooth Holling type I functional response. Considering the reproduction rate of …
piecewise–smooth Holling type I functional response. Considering the reproduction rate of …
On Poincaré-Bendixson theorem and non-trivial minimal sets in planar nonsmooth vector fields
In this paper some qualitative and geometric aspects of nonsmooth vector fields theory are
discussed. A Poincaré-Bendixson Theorem for a class of nonsmooth systems is presented …
discussed. A Poincaré-Bendixson Theorem for a class of nonsmooth systems is presented …
[HTML][HTML] Slow–fast n-dimensional piecewise linear differential systems
In this article we analyze n-dimensional slow–fast systems in a piecewise linear framework.
In particular, we prove a Fenichel's-like Theorem where we give an explicit expression for …
In particular, we prove a Fenichel's-like Theorem where we give an explicit expression for …
[HTML][HTML] Birth of limit cycles bifurcating from a nonsmooth center
This paper is concerned with a codimension analysis of a two-fold singularity of piecewise
smooth planar vector fields, when it behaves itself like a center of smooth vector fields (also …
smooth planar vector fields, when it behaves itself like a center of smooth vector fields (also …
Normal forms for codimension one planar piecewise smooth vector fields
T de Carvalho, DJ Tonon - International Journal of Bifurcation and …, 2014 - World Scientific
In this paper, we are dealing with piecewise smooth vector fields in a 2D-manifold. In such a
scenario, the main goal of this paper is to exhibit the homeomorphism that gives the …
scenario, the main goal of this paper is to exhibit the homeomorphism that gives the …
[HTML][HTML] Basin of attraction of a cusp–fold singularity in 3D piecewise smooth vector fields
T de Carvalho, MA Teixeira - Journal of Mathematical Analysis and …, 2014 - Elsevier
Basin of attraction of a cusp–fold singularity in 3D piecewise smooth vector fields -
ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & Books Search …
ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & Books Search …
Asymptotic stability and bifurcations of 3D piecewise smooth vector fields
The paper deals with the analysis of the behavior of a nonsmooth three-dimensional vector
field around a typal singularity. We focus on a class of generic one-parameter families Z_ λ Z …
field around a typal singularity. We focus on a class of generic one-parameter families Z_ λ Z …
[HTML][HTML] On the closing lemma for planar piecewise smooth vector fields
T de Carvalho - Journal de Mathématiques Pures et Appliquées, 2016 - Elsevier
A large number of papers deal with “Closing Lemmas” for C r-vector fields (and C r-
diffeomorphisms). Here, we introduce this subject and formalize the terminology about …
diffeomorphisms). Here, we introduce this subject and formalize the terminology about …
On limit cycles in regularized Filippov systems bifurcating from homoclinic-like connections to regular-tangential singularities
In this paper, we are concerned about smoothing of Filippov systems around homoclinic-like
connections to regular-tangential singularities. We provide conditions to guarantee the …
connections to regular-tangential singularities. We provide conditions to guarantee the …
A note on Vishik's normal form
Abstract The Vishik's Normal Form provides a local smooth conjugation with a linear vector
field for smooth vector fields near contacts with a manifold. In the present study, we focus on …
field for smooth vector fields near contacts with a manifold. In the present study, we focus on …