Memory loss for time-dependent dynamical systems

William Ott; Mikko Stenlund; Lai Sang Young

doi:10.4310/MRL.2009.v16.n3.a7

Memory loss for time-dependent dynamical systems

William Ott, Mikko Stenlund, Lai Sang Young

Mathematics

Research output: Contribution to journal › Article › peer-review

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 language	English (US)
Pages (from-to)	463-475
Number of pages	13
Journal	Mathematical Research Letters
Volume	16
Issue number	3
DOIs	https://doi.org/10.4310/MRL.2009.v16.n3.a7
State	Published - 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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10.4310/MRL.2009.v16.n3.a7

Cite this

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title = "Memory loss for time-dependent dynamical systems",

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.",

keywords = "Coupling, Expanding maps, Memory loss, Piecewise expanding maps, Time-dependent dynamical systems",

author = "William Ott and Mikko Stenlund and Young, {Lai Sang}",

year = "2009",

month = may,

doi = "10.4310/MRL.2009.v16.n3.a7",

language = "English (US)",

volume = "16",

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journal = "Mathematical Research Letters",

issn = "1073-2780",

publisher = "International Press of Boston, Inc.",

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AU - Stenlund, Mikko

AU - Young, Lai Sang

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KW - Expanding maps

KW - Memory loss

KW - Piecewise expanding maps

KW - Time-dependent dynamical systems

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VL - 16

SP - 463

EP - 475

JO - Mathematical Research Letters

JF - Mathematical Research Letters

IS - 3

ER -

Memory loss for time-dependent dynamical systems

Abstract

Keywords

ASJC Scopus subject areas

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