Convective and Absolute Eckhaus Instability Leading to Modulated Waves in a Finite Box
Nicolas Garnier, Arnaud Chiffaudel, François Daviaud
Abstract
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Nicolas Garnier, Arnaud Chiffaudel, François Daviaud
Abstract
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We report an experimental study of the secondary modulational instability of a one-dimensional nonlinear traveling wave in a long bounded channel. Two qualitatively different instability regimes involving fronts of spatiotemporal defects are linked to the convective and absolute nature of the instability. Both transitions appear to be subcritical. The spatiotemporal defects control the global mode structure.
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We report an experimental study of the secondary modulational instability of a one-dimensional nonlinear traveling wave in a long bounded channel. Two qualitatively different instability regimes involving fronts of spatiotemporal defects are linked to the convective and absolute nature of the instability. Both transitions appear to be subcritical. The spatiotemporal defects control the global mode structure.
Key concepts: Instability, Modulational instability, Physics, Convective instability, Convection, Nonlinear system, Mechanics, Bounded function