Abstract
The effect of temporal modulations on wave patterns induced by spatiotemporal Hopf bifurcations is discussed in the framework of amplitude equations of the Ginzburg-Landau type. The approach is well adapted to the study of pattern formation in liquid crystals which, on the other hand, provide a class of easily forced systems. A few examples, related to experimental realizations, are presented. In particular, it is shown how pure temporal modulations may stabilize standing waves or two-dimensional wave patterns in regimes where they are otherwise unstable. The properties of the defects which are associated to these structures are also discussed.
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Walgraef, D. Temporal forcing of wave patterns. J Stat Phys 64, 969–980 (1991). https://doi.org/10.1007/BF01048808
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DOI: https://doi.org/10.1007/BF01048808