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- W2087095456 abstract "A forward Hopf bifurcation is characterized by the continuous development of a periodic oscillatory state from a time-independent state as some control parameter is varied. In Rayleigh-B'enard convection the control parameter is the Rayleigh number and the transition is from a stationary convective roll structure to periodic time-dependent convection. We show analytically that close to the bifurcation point the amplitudes of the temporal modes of the oscillatory state scale as (R-${R}_{0}$${)}^{n/2}$, where n is the mode number. Complex-amplitude equations are also derived which give the transient behavior of these modes. Experimental data on Rayleigh-B'enard convection in a dilute solution of $^{3}mathrm{He}$ in superfluid $^{4}mathrm{He}$ agree well with the theory." @default.
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- W2087095456 date "1987-11-01" @default.
- W2087095456 modified "2023-09-27" @default.
- W2087095456 title "Universal scaling and transient behavior of temporal modes near a Hopf bifurcation: Theory and experiment" @default.
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- W2087095456 doi "https://doi.org/10.1103/physreva.36.4390" @default.
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