Shadowability of Statistical Averages in Chaotic Systems

Ying-Cheng Lai, Zonghua Liu, Guo Wei Wei, Choy Heng Lai

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


We ask whether statistical averages in chaotic systems can be computed or measured reliably under the influence of noise. Situations are identified where the invariance of such averages breaks down as the noise amplitude increases through a critical level. An algebraic scaling law is obtained which relates the change of the averages to the noise variation. This breakdown of shadowability of statistical averages, as characterized by the algebraic scaling law, can be expected in both low- and high-dimensional chaotic systems.

Original languageEnglish (US)
JournalPhysical Review Letters
Issue number18
StatePublished - 2002

ASJC Scopus subject areas

  • General Physics and Astronomy


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