Bifurcation to chaos and dimensionality of attractors in an extended Rayleigh-Benard convection system

Shinichi Sato, Masaki Sano, and Yasuji Sawada
Phys. Rev. A 37, 1679 – Published 1 March 1988
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Abstract

The spatial and temporal bifurcations to chaos and dimensionality of strange attractors in Rayleigh-Benard convection are studied in an extended rectangular container with aspect ratios 15.0 and 1.0. With increasing Rayleigh number, oscillatory states, quasiperiodic states, and chaotic states are observed where the amplitudes of various modes strongly depend on the spatial position. The chaotic states just above the onset are characterized by low-dimensional attractors and the correlation dimension of the attractor is investigated as a function of Rayleigh number.

  • Received 9 October 1987

DOI:https://doi.org/10.1103/PhysRevA.37.1679

©1988 American Physical Society

Authors & Affiliations

Shinichi Sato

  • Faculty of Liberal Arts, Shizuoka University, 836 Ohya, Shizuoka 422, Japan

Masaki Sano and Yasuji Sawada

  • Research Institute of Electrical Communication, Tohoku University, Sendai 980, Japan

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Vol. 37, Iss. 5 — March 1988

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