Correlation Dimension and Largest Lyapunov Exponent for Broadband Edge Turbulence in the Compact Helical System | Zendy

A. Komori | Zendy; Teruhiko Baba | Zendy; T. Morisaki | Zendy; Mitsuo Kono | Zendy; H. Iguchi | Zendy; K. Nishimura | Zendy; H. Yamada | Zendy; S. Okamura | Zendy; K. Matsuoka | Zendy

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Correlation Dimension and Largest Lyapunov Exponent for Broadband Edge Turbulence in the Compact Helical System

Author(s) -

A. Komori,

Teruhiko Baba,

T. Morisaki,

Mitsuo Kono,

H. Iguchi,

K. Nishimura,

H. Yamada,

S. Okamura,

K. Matsuoka

Publication year - 1994

Publication title -

physical review letters

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 3.688

H-Index - 673

eISSN - 1079-7114

pISSN - 0031-9007

DOI - 10.1103/physrevlett.73.660

Subject(s) - lyapunov exponent , attractor , correlation dimension , physics , fractal dimension , turbulence , dimension (graph theory) , exponent , fractal , statistical physics , broadband , mathematical analysis , mathematics , quantum mechanics , nonlinear system , optics , mechanics , pure mathematics , linguistics , philosophy

The correlation dimension has been investigated in detail for broadband edge density fluctuations observed in the compact helical system. Fractal dimensions of 5-9 have been obtained, depending on plasmas produced, and hence, quantitatively characterize the attractor of the turbulence. The largest Lyapunov exponent has been also calculated, indicating that the observed chaos is deterministic and the attractor is strange

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