2 citations · 2 across the 4 of their papers we have counts for
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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…
Smoothness of Topological Equivalence on the Half Line for Nonautonomous Systems
Álvaro Castañeda, Pablo Monzón, Gonzalo Robledo
We study the differentiability properties of the topological equivalence between a uniformly asymptotically stable linear nonautonomous system and a perturbed system with suitable…