Claudio A. Gallegos

collaborators

3 papers

math.DS2025

The interplay of $μ$ -dichotomy, bounded growth, and spectral properties via growth rate comparisons

Néstor Jara, Claudio A. Gallegos

We investigate the behavior of the dichotomy spectrum of nonautonomous linear systems under general growth rates. By introducing comparison criteria we clarify how $μ$ -dichotomy an…

math.DS2025

Discrete $μ$ -dichotomy spectrum: beyond uniformity and new insights

Álvaro Castañeda, Claudio A. Gallegos, Néstor Jara

We develop spectral theorems for nonautonomous linear difference systems, considering different types of $μ$ -dichotomies, both uniform and nonuniform. In the nonuniform case, intri…

nlin.CD2024

Spectrum invariance dilemma for nonuniformly kinematically similar systems

Claudio A. Gallegos, Néstor Jara

We unveil instances where nonautonomous linear systems manifest distinct nonuniform $μ$ -dichotomy spectra despite admitting nonuniform $(μ, ε)$ -kinematic similarity. Expl…

The interplay of μ-dichotomy, bounded growth, and spectral properties via growth rate comparisons

Discrete μ-dichotomy spectrum: beyond uniformity and new insights

Spectrum invariance dilemma for nonuniformly kinematically similar systems

The interplay of $μ$ -dichotomy, bounded growth, and spectral properties via growth rate comparisons

Discrete $μ$ -dichotomy spectrum: beyond uniformity and new insights