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Title: A decomposition theorem for the space of C{sup 1}-smooth skew products with complicated dynamics of the quotient map

We use the notions of the Ω-function and functions suitable to it, to give a detailed proof of a decomposition theorem for the space of C{sup 1}-smooth skew products of interval maps whose quotient maps have complicated dynamics and satisfy the additional condition of Ω-stability with respect to the C{sup 1}-norm. In our theorem, the space of C{sup 1}-smooth skew products is decomposed into a union of four nonempty, pairwise disjoint subspaces. We give examples of maps contained in each of the four subspaces. Bibliography: 46 titles.
Authors:
 [1]
  1. N.I. Lobachevsky State University of Nizhny Novgorod, Nizhny Novgorod (Russian Federation)
Publication Date:
OSTI Identifier:
22365876
Resource Type:
Journal Article
Resource Relation:
Journal Name: Sbornik. Mathematics; Journal Volume: 204; Journal Issue: 11; Other Information: Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICAL METHODS AND COMPUTING; FUNCTIONS; MATHEMATICAL MODELS; MATHEMATICAL SOLUTIONS; MATHEMATICAL SPACE; STABILITY