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math.DS2022★ 2 cited
The dichotomy spectrum approach for a global nonuniform asymptotic stability problem: Triangular case via uniformization
Álvaro Castañeda, Ignacio Huerta, Gonzalo Robledo
By considering the nonuniform exponential dichotomy spectrum, we introduce a global asymptotic nonuniform stability conjecture for nonautonomous differential systems, whose restric…
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…