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
StatePublished - May 2009

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Expanding Maps
Dynamical system
Probability Distribution

Keywords

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

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Memory loss for time-dependent dynamical systems. / Ott, William; Stenlund, Mikko; Young, Lai Sang.

In: Mathematical Research Letters, Vol. 16, No. 3, 05.2009, p. 463-475.

Research output: Contribution to journalArticle

Ott, W, Stenlund, M & Young, LS 2009, 'Memory loss for time-dependent dynamical systems', Mathematical Research Letters, vol. 16, no. 3, pp. 463-475.
Ott, William ; Stenlund, Mikko ; Young, Lai Sang. / Memory loss for time-dependent dynamical systems. In: Mathematical Research Letters. 2009 ; Vol. 16, No. 3. pp. 463-475.
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