Statistical properties of chaotic dynamical systems which exhibit strange attractors

Technical Report · Wed Jul 01 00:00:00 EDT 1981

DOI:https://doi.org/10.2172/6441057· OSTI ID:6441057

Jensen, R V; Oberman, C R

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.

• Research Organization: Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
• DOE Contract Number: AC02-76CH03073
• OSTI ID: 6441057
• Report Number(s): PPPL-1780; ON: DE81027471; TRN: 81-014727
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
PLASMA
MATHEMATICAL MODELS
TURBULENCE
COLLISIONS
DAMPING
MAPPING
STATISTICS
MATHEMATICS
700105* - Fusion Energy- Plasma Research- Plasma Kinetics-Theoretical- (-1987)