4 papers
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…
Gohberg Lemma and Spectral Results for Pseudodifferential Operators on Locally Compact Abelian Groups
Néstor Jara, Marius Măntoiu
We provide a new type of proof for known or new Gohberg lemmas for pseudodifferential operators on Abelian locally compact groups . We use -algebraic techniques, w…
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…
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…