Since the works of M. Pinto [2], it has been studied that nonautonomous dynamics can present different behaviors other than exponential, as polynomial, superexponential, among others. More recently, C. Silva [4] presented a formalism to expand some classic results [3] regarding the spectral structure that an equation can present when studied under the lenses of a given growth rate. In this talk, based on [1], we investigate the properties of the dichotomy spectrum of nonautonomous linear systems under general growth behaviors. By introducing compar- ison criteria we clarify how generalized dichotomies and bounded growth interact. We also study the evolution of the dichotomy spectrum under these comparisons, revealing that faster growth rates compress the spectrum, while slower growth rates expand it. Joint work with: Claudio A. Gallegos References [1] Gallegos, C. A.; Jara, N. The interplay of μ-dichotomy, bounded growth, and spectral properties via growth rate comparisons (2025). arXiv:2507.21940. [2] Naulin, R.; Pinto, M. Dichotomies and asymptotic solutions of nonlinear differential systems. Nonlinear Anal. Theory Methods Appl. 23 (1994), No. 7, 871–882. [3] Siegmund, S. Dichotomy spectrum for nonautonomous differential equations. J. Dynam. Dif- ferential Equations 14 (2002), 243–258. [4] Silva, C. M. Nonuniform μ-dichotomy spectrum and kinematic similarity. J. Differential Equa- tions, 375, 618-652 (2023).