Abstract
The localization of a static hexagonal pattern in a uniform background is studied. Based on a numerical analysis of a prototype model (a Swift-Hohenberg type equation) it is shown that the range of existence of these localized states depended on their shape and size. A morphological classification of these localized structures is performed in order to characterize this phenomenon. A heuristic description of the localization process (based on a wall interaction approach) is proposed, which supplies a good physical picture of what is observed numerically.
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© 2011 Springer-Verlag Berlin Heidelberg
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Dixon, D.E. (2011). Morphological Characterization of Localized Hexagonal Patterns. In: Descalzi, O., Clerc, M., Residori, S., Assanto, G. (eds) Localized States in Physics: Solitons and Patterns. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-16549-8_7
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DOI: https://doi.org/10.1007/978-3-642-16549-8_7
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-16548-1
Online ISBN: 978-3-642-16549-8
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