Confined states in phase dynamics

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Abstract
We discuss the possibility of the coexistence of two states with different wavelengths in the framework of phase dynamics. We investigate in detail this phenomenon which is intrinsically nonlinear and we give a Lyapunov functional for the case of a phase associated with a stationary pattern. The relationship of the confined states discussed here with recent experimental observations of localized states posessing a wavelength different from that in the bulk of the container for the case of slot convection and for the Taylor instability between co-rotating cylinders is critically examined.

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