5 papers
Discrete and continuous dynamics of real -dimensional nilpotent polynomial vector fields
Álvaro Castañeda, Salomón Rebollo-Perdomo
A large class of real -dimensional nilpotent polynomial vector fields of arbitrary degree is considered. The aim of this work is to present general properties of the discrete an…
Topological Equivalence of nonautonomous difference equations with a family of dichotomies on the half line
Álvaro Castañeda, Pablo González, Gonzalo Robledo
A linear system of difference equations and a nonlinear perturbation are considered, we obtain sufficient conditions to ensure the topological equivalence between them, namely, the…
Nilpotent Jacobians and Almost Global Stability
Álvaro Castañeda, Maximiliano Machado-Higuera
In this article we study maps with nilpotent Jacobian in distinguishing the cases when the rows of are linearly dependent over and when they are li…
Nonuniform contractions and density stability results via a smooth topological equivalence
Álvaro Castañeda, Pablo Monzón, Gonzalo Robledo
We study the smoothness and preserving orientation properties of a global and nonautonomous version of the Hartman--Grobman Theorem when the linear system has a nonuniform contract…
A new class of Nilpotent Jacobians in any dimension
Álvaro Castañeda, Arno van den Essen
The classification of the nilpotent Jacobians with some structure has been an object of study because of its relationship with the Jacobian Conjecture. In this paper we classify th…