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Title: Statistical properties of chaotic dynamical systems which exhibit strange attractors

Abstract

A path integral method is developed for the calculation of the statistical properties of turbulent dynamical systems. The method is applicable to conservative systems which exhibit a transition to stochasticity as well as dissipative systems which exhibit strange attractors. A specific dissipative mapping is considered in detail which models the dynamics of a Brownian particle in a wave field with a broad frequency spectrum. Results are presented for the low order statistical moments for three turbulent regimes which exhibit strange attractors corresponding to strong, intermediate, and weak collisional damping.

Authors:
;
Publication Date:
Research Org.:
Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
OSTI Identifier:
6441057
Report Number(s):
PPPL-1780
ON: DE81027471; TRN: 81-014727
DOE Contract Number:  
AC02-76CH03073
Resource Type:
Technical Report
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; PLASMA; MATHEMATICAL MODELS; TURBULENCE; COLLISIONS; DAMPING; MAPPING; STATISTICS; MATHEMATICS; 700105* - Fusion Energy- Plasma Research- Plasma Kinetics-Theoretical- (-1987)

Citation Formats

Jensen, R V, and Oberman, C R. Statistical properties of chaotic dynamical systems which exhibit strange attractors. United States: N. p., 1981. Web. doi:10.2172/6441057.
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Jensen, R V, & Oberman, C R. Statistical properties of chaotic dynamical systems which exhibit strange attractors. United States. https://doi.org/10.2172/6441057
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Jensen, R V, and Oberman, C R. 1981. "Statistical properties of chaotic dynamical systems which exhibit strange attractors". United States. https://doi.org/10.2172/6441057. https://www.osti.gov/servlets/purl/6441057.
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@article{osti_6441057,
title = {Statistical properties of chaotic dynamical systems which exhibit strange attractors},
author = {Jensen, R V and Oberman, C R},
abstractNote = {A path integral method is developed for the calculation of the statistical properties of turbulent dynamical systems. The method is applicable to conservative systems which exhibit a transition to stochasticity as well as dissipative systems which exhibit strange attractors. A specific dissipative mapping is considered in detail which models the dynamics of a Brownian particle in a wave field with a broad frequency spectrum. Results are presented for the low order statistical moments for three turbulent regimes which exhibit strange attractors corresponding to strong, intermediate, and weak collisional damping.},
doi = {10.2172/6441057},
url = {https://www.osti.gov/biblio/6441057}, journal = {},
number = ,
volume = ,
place = {United States},
year = {Wed Jul 01 00:00:00 EDT 1981},
month = {Wed Jul 01 00:00:00 EDT 1981}
}
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Technical Report:
View Technical Report (0.66 MB)
https://doi.org/10.2172/6441057
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