Localized and extended patterns in the cubic-quintic Swift-Hohenberg equation on a disk
نویسندگان
چکیده
Axisymmetric and nonaxisymmetric patterns in the cubic-quintic Swift-Hohenberg equation posed on a disk with Neumann boundary conditions are studied via numerical continuation bifurcation analysis. localized solutions form of spots rings known from earlier studies persist snake usual fashion until they begin to interact boundary. Depending parameters, including radius, these states may or not connect branch domain-filling target states. Secondary instabilities axisymmetric create multiarm structures that grow before broadening into High azimuthal wave number wall referred as daisy also found. bifurcations include daisies, i.e., both radius angle. much one-dimensional equation, invade interior domain, yielding worms, stripes.
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ژورنال
عنوان ژورنال: Physical review
سال: 2021
ISSN: ['0556-2813', '1538-4497', '1089-490X']
DOI: https://doi.org/10.1103/physreve.104.014208