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Fibered holomorphic dynamics are skew-product transformations F (θ, z) = (θ + α, f θ (z)) over an irrational rotation, whose fibers are holomorphic functions. In this paper we study such a dynamics on a neighborhood of an invariant curve. We obtain some results analogous to the results in the non fibered case.
We consider the problem of the persistence of invariant curves for analytical fibered holomorphic transformations. We define a fibered rotation number associated to an invariant curve. We show that an invariant curve with a prescribed fibered rotation number persists under small perturbations on the dynamics provided that the pair of rotation numbers… (More)
The effectiveness of the World Health Organization's (WHO) treatment category II regimen for tuberculosis in 124 patients was compared to that of 1147 patients receiving treatment category I in Lima, Peru following WHO's guidelines. Drug susceptibility test was available for 85% of patients. Prevalence of multi drug resistance and streptomycin resistance… (More)
This work is a natural companion of , where the dynamics of cocycles of isometries of R ℓ over a minimal dynamics (semigroup action) is studied. While  is mostly devoted to the case in which the orbits of the fibered (skew) dynamics are bounded (a condition that turns out to be equivalent to the existence of a continuous invariant section), here we… (More)
We present an example of a fibred quadratic polynomial admitting an attracting invariant 2-curve. By an unfolding construction we obtain an example of a fibred quadratic polynomial admitting two attracting invariant curves. This phenomena can not occur in the non-fibred setting.
—This paper presents the study of quasi-square waveforms in order to avoid the problem of acoustic resonances in lamps of high intensity discharge. The study consists in the analysis of the electric power waveform, mainly, the study of the effect of the power harmonics generated with the quasi square waveform over the arc discharge of the lamp. The… (More)
Spatial autocorrelation is problematic for classical hierarchical cluster detection tests commonly used in multi-drug resistant tuberculosis (MDR-TB) analyses as considerable random error can occur. Therefore, when MDRTB clusters are spatially autocorrelated the assumption that the clusters are independently random is invalid. In this research, a product… (More)