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

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

doi:10.1016/j.piutam.2012.06.036

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 journal › Conference article › peer-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 language	English
Pages (from-to)	265-271
Number of pages	7
Journal	Procedia IUTAM
Volume	5
DOIs	https://doi.org/10.1016/j.piutam.2012.06.036
Publication status	Published - 2012
Event	IUTAM Symposium on 50 Years of Chaos: Applied and Theoretical - Kyoto, Japan Duration: 2011 Nov 28 → 2011 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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10.1016/j.piutam.2012.06.036

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title = "Fluctuation spectra of few- And large-degree-of-freedom chaotic systems",

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.",

keywords = "Fluctuation spectra, Large deviation statistics, Local expansion rates, Projection-operator method, Rate function",

author = "Katsuhito Matsui and Syuji Miyazaki and Kobayashi, {Miki U.} and Takehiko Horita and Katsuya Ouchi",

year = "2012",

doi = "10.1016/j.piutam.2012.06.036",

language = "English",

volume = "5",

pages = "265--271",

journal = "Procedia IUTAM",

issn = "2210-9838",

note = "IUTAM Symposium on 50 Years of Chaos: Applied and Theoretical ; Conference date: 28-11-2011 Through 02-12-2011",

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TY - JOUR

T1 - Fluctuation spectra of few- And large-degree-of-freedom chaotic systems

AU - Matsui, Katsuhito

AU - Miyazaki, Syuji

AU - Kobayashi, Miki U.

AU - Horita, Takehiko

AU - Ouchi, Katsuya

PY - 2012

Y1 - 2012

N2 - 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.

AB - 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.

KW - Fluctuation spectra

KW - Large deviation statistics

KW - Local expansion rates

KW - Projection-operator method

KW - Rate function

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DO - 10.1016/j.piutam.2012.06.036

M3 - Conference article

AN - SCOPUS:84867445021

SN - 2210-9838

VL - 5

SP - 265

EP - 271

JO - Procedia IUTAM

JF - Procedia IUTAM

T2 - IUTAM Symposium on 50 Years of Chaos: Applied and Theoretical

Y2 - 28 November 2011 through 2 December 2011

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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