Showing math.DSShow all
3 papers · 1 filter
math.DS2022
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…
math.DS2018
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…
math.DS2018
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…