Measurable time-restricted sensitivity

Domenico Aiello, Hansheng Diao, Zhou Fan, Daniel O. King, Jessica Lin, Cesar E. Silva

Research output: Contribution to journalArticle

2 Scopus citations

Abstract

We develop two notions of sensitivity to initial conditions for measurable dynamical systems, where the time before divergence of a pair of paths is at most an asymptotically logarithmic function of a measure of their initial distance. In the context of probability measure-preserving transformations on a compact space, we relate these notions to the metric entropy of the system. We examine one of these notions for classes of non-measure-preserving, nonsingular transformations.

Original languageEnglish (US)
Pages (from-to)3313-3325
Number of pages13
JournalNonlinearity
Volume25
Issue number12
DOIs
StatePublished - Dec 1 2012

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)
  • Applied Mathematics

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  • Cite this

    Aiello, D., Diao, H., Fan, Z., King, D. O., Lin, J., & Silva, C. E. (2012). Measurable time-restricted sensitivity. Nonlinearity, 25(12), 3313-3325. https://doi.org/10.1088/0951-7715/25/12/3313