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Phys. Rev. Lett. 55, 596–599 (1985)

Fixed Winding Number and the Quasiperiodic Route to Chaos in a Convective Fluid

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J. Stavans, F. Heslot, and A. Libchaber
The James Franck Institute and The Enrico Fermi Institute, The University of Chicago, Chicago, Illinois 60637

See Also: Erratum

Received 19 April 1985; published in the issue dated 5 August 1985

We present an experimental observation of the transition to chaos for quasiperiodic routes of fixed winding number. The hydrodynamical system studied is a Rayleigh-Bénard experiment in mercury, in a time-dependent state with one limit cycle. A second oscillator is imposed by an accurrent. We have measured the fractal dimension of the locked regions at the critical curve as well as the scaling properties associated with two different irrational winding numbers, to which the system was tuned. Our results agree with quantitative theoretical predictions based on the circle map.

© 1985 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.55.596
DOI:
10.1103/PhysRevLett.55.596
PACS:
47.20.+m, 47.25.-c

See Also

Erratum: J. Stavans, F. Heslot, and A. Libchaber, Fixed Winding Number and the Quasiperiodic Route to Chaos in a Convective Fluid, Phys. Rev. Lett. 55, 1239 (1985).