Abstract
In nonlinear dissipative systems subjected to an external stress, R, a transition frequently occurs to a state of reduced symmetry having a spatial structure with a characteristic wavelength when R exceeds a critical value Rc. Examples are Rayleigh-Bénard convection [1], Taylor-vortex flow [2–4], certain chemical reactions [5], flame-front propagation [6], and crystal growth [7]. The equations of motion, with boundary conditions corresponding to systems of infinite spatial extent, usually possess a continuum of linearly stable solutions [8], corresponding to a band of wave numbers having a width which varies as ε1/2 (ε ≡ R/Rc − 1).
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Ahlers, G., Cannell, D.S. (1984). Wave-Number Selection in Rotating Couette-Taylor flow. In: Frehland, E. (eds) Synergetics — From Microscopic to Macroscopic Order. Springer Series in Synergetics, vol 22. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-69540-7_4
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DOI: https://doi.org/10.1007/978-3-642-69540-7_4
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