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math.DS2023
A generalization of Siegmund's normal forms theorem to systems with -dichotomies
Álvaro Castañeda, Néstor Jara
We establish a theorem concerning the normal forms by examining the newly presented concept of -dichotomy. This work establishes the nonresonance condition based on the associat…
math.DS2023
Groupoid morphisms as an algebraic structure for nonautonomous dynamics
Néstor Jara
We present groupoid morphisms as an algebraic structure for nonautonomous dynamics, as well as a generalization of group morphisms, which describe classic dynamical systems. We int…
math.DS2021
A note on the differentiability of Palmer's topological equivalence for discrete systems
Álvaro Castañeda, Néstor Jara
A linear system of difference equations and a nonlinear perturbation are considered. We propose sufficient conditions to ensure that the homeomorphism of topological equivalence be…