Absence of C
1- Ω-Explosion in the Space of Smooth Simplest Skew Products |
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| Authors: | L Efremova |
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| Institution: | 1. N. I. Lobachevsky Niznny Novgorod National University, Differential Equations and Mathematical Analysis Department, 603950, Nizhny Novgorod, pr. Gagarina, 23a, Russia
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| Abstract: | We give a detailed proof of absence of a C 1- Ω-explosion in the space of C 1-regular simplest skew products of mappings of an interval (i.e., skew products of mappings of an interval with a closed set of periodic points). We study the influence of C 1-perturbations (of the class of skew products) to the set of periods of the periodic points of C 1-regular simplest skew products, and describe the peculiarities of period doubling bifurcations of the periodic points. |
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