Fixed winding number and the quasiperiodic route to chaos in a convective fluid

Details Fixed winding number and the quasiperiodic route to chaos in a convective fluid Fixed winding number and the quasiperiodic route to chaos in a convective fluid

Aug 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985phrvl..55..596s&link_type=abstract

Physical Review Letters (ISSN 0031-9007), vol. 55, Aug. 5, 1985, p. 596-599.

Mathematics

Dynamical Systems

111

Chaos, Convective Flow, Dynamical Systems, Fluid Dynamics, Fourier Analysis, Mercury (Metal), Rayleigh-Benard Convection, Scaling Laws, Winding

Scientific paper

An experimental observation of the transition to chaos for quasi-periodic routes of fixed winding number is presented. The hydrodynamical system studied is a Rayleigh-Benard experiment in mercury, in a time-dependent state with one limit cycle. A second oscillator is imposed by an ac current. Measurements have been conducted of 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. The results agree with quantitative theoretical predictions based on the circle map.

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