Algebraic dichotomy is a generalization of an exponential (see Lin[?]). This paper gives version Hartman-Grobman linearization theorem assuming that linear system admits algebraic dichotomy, which generalizes the Palmer's theorem. Besides, we prove homeomorphism in Hölder continuous (and has inverse). Comparing with more complicate. The leads us to estimates $\int_{-\infty}^{t}e^{-\alpha(t...

Un teorema bien conocido en dinámica no linear discreta devido a Grobman y Hartman nos dice que un difeomorfismo de clase C1, F:E --> E, con E espacio Banach p punto fijo hiperbólico puede ser topológicamente conjugado para lineal Λ=DF(p) (en una vecindad p). Este trabajo tiene como objetivo llenar todos los vacíos completar las pruebas encontradas el pre-print Belintskii-Rayskin , donde da ...

Numerical investigation for the steady-state laminar nanofluid 2D natural convection in a partially heated porous cavity equipped with two fins at hot wall under effect of uniform magnetic field is carried out. Effects wide ranges variables including: Hartman number (0?80), direction (0o?90°), Rayleigh (103?106), Darcy (10–2?10–5), nano-solid particles volume fraction (? = 0% and 6%), length at...

An electron wave packet tunneling through a barrier has transmission (or ``group delay'') time ${\ensuremath{\tau}}_{g}$ that, for rectangular barrier, is commonly held to become independent of the width $L$ as increases (the McColl-Hartman effect). In present study, it shown that first, effect dependent upon Gamow factor $\ensuremath{\theta}(k)$ vanishes, and only when large; second, triangula...

-Brook trout Salvelinus fontinalis and other salmonids in Appalachia typically inhabit headwater watersheds, where food resources may limit growth. We monitored the feeding trends of a brook trout population in central Appalachia over the course of 2 years to determine variation in feeding intensity and important prey items. One terrestrial beetle family, Scarabaeidae, provided a disproportiona...