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Quasiperiodicity, Mode-Locking, and Universal Scaling in Rayleigh-Bénard Convection

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Chaos, Order, and Patterns

Part of the book series: NATO ASI Series ((NSSB,volume 280))

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Abstract

Quasiperiodicity, mode-locking and universal scaling dynamics are described for Rayleigh-Bénard convection in a dilute solution of 3He in superfluid 4He. Examples from experimental data are used to illustrate analysis techniques of nonlinear dynamics: power spectra, phase space reconstruction, Poincaré sections, transients and stability eigenvalues, return maps, multifractal f(α) analysis, and scaling function dynamics. Using these tools we show that the route to chaos in this system of two intrinsic oscillatory modes has the same universality as the sine circle map.

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Authors and Affiliations

  1. Physics Division and Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, NM, 87545, USA

    Robert E. Ecke

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  1. Robert E. Ecke
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Editors and Affiliations

  1. University of Milan, Milan, Italy

    Roberto Artuso  & Giulio Casati  & 

  2. Niels Bohr Institute, Copenhagen, Denmark

    Predrag Cvitanović

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© 1991 Plenum Press, New York

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Ecke, R.E. (1991). Quasiperiodicity, Mode-Locking, and Universal Scaling in Rayleigh-Bénard Convection. In: Artuso, R., Cvitanović, P., Casati, G. (eds) Chaos, Order, and Patterns. NATO ASI Series, vol 280. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-0172-2_4

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  • DOI: https://doi.org/10.1007/978-1-4757-0172-2_4

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