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Phys. Rev. A 37, 1679–1683 (1988)

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

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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

Received 9 October 1987; published in the issue dated March 1988

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.

© 1988 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.37.1679
DOI:
10.1103/PhysRevA.37.1679
PACS:
47.20.Ky