Skew product attractors and concavity

Lluís Alsedà, Michał Misiurewicz

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4 Citations (Scopus)

Abstract

© 2014 American Mathematical Society. We propose an approach to the attractors of skew products that tries to avoid unnecessary structures on the base space and rejects the assumption on the invariance of an attractor. When nonivertible maps in the base are allowed, one can encounter the mystery of the vanishing attractor. In the second part of the paper, we show that if the fiber maps are concave interval maps, then contraction in the fibers does not depend on the map in the base.
Original languageEnglish
Pages (from-to)703-716
JournalProceedings of the American Mathematical Society
Volume143
Issue number2
DOIs
Publication statusPublished - 1 Jan 2015

Keywords

  • Attractor
  • Concavity
  • Monotonicity
  • Quasiperiodic forcing
  • Skew product

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    Alsedà, L., & Misiurewicz, M. (2015). Skew product attractors and concavity. Proceedings of the American Mathematical Society, 143(2), 703-716. https://doi.org/10.1090/S0002-9939-2014-12271-4