Fluctuation spectra of few- And large-degree-of-freedom chaotic systems

Katsuhito Matsui, Syuji Miyazaki, Miki U. Kobayashi, Takehiko Horita, Katsuya Ouchi

    Research output: Contribution to journalConference articlepeer-review

    Abstract

    Following Fujisaka's basic idea, large deviation statistics characterizing temporal fluctuations arc calculated based on Mori's projection-operator method. It is shown that this calculation will overcome the finite-sample effect studied by Nakao ct al. due to the finitencss of the length of time scries, of the time span of the local average, or of the ensemble of numerical data. The proposed method arc compared with direct numerical simulations using analytically solvable chaotic maps, and a much wider range of large deviation is observed far beyond the finite-sample direct numerical simulations.

    Original languageEnglish
    Pages (from-to)265-271
    Number of pages7
    JournalProcedia IUTAM
    Volume5
    DOIs
    Publication statusPublished - 2012
    EventIUTAM Symposium on 50 Years of Chaos: Applied and Theoretical - Kyoto, Japan
    Duration: 2011 Nov 282011 Dec 2

    Keywords

    • Fluctuation spectra
    • Large deviation statistics
    • Local expansion rates
    • Projection-operator method
    • Rate function

    ASJC Scopus subject areas

    • Mechanical Engineering

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