Memory loss for time-dependent dynamical systems

William Ott, Mikko Stenlund, Lai Sang Young

Research output: Contribution to journalArticle

Abstract

This paper discusses the evolution of probability distributions for certain time-dependent dynamical systems. Exponential loss of memory is proved for expanding maps and for one-dimensional piecewise expanding maps with slowly varying parameters.

Original languageEnglish (US)
Pages (from-to)463-475
Number of pages13
JournalMathematical Research Letters
Volume16
Issue number3
DOIs
StatePublished - May 2009

Keywords

  • Coupling
  • Expanding maps
  • Memory loss
  • Piecewise expanding maps
  • Time-dependent dynamical systems

ASJC Scopus subject areas

  • Mathematics(all)

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