Self-Organization of Target Pattern in a Coupled System of Lattice Oscillation and Lattice Deformation
Author(s) -
Hidetsugu Sakaguchi
Publication year - 1992
Publication title -
progress of theoretical physics
Language(s) - English
Resource type - Journals
eISSN - 1347-4081
pISSN - 0033-068X
DOI - 10.1143/ptp/87.1.241
Subject(s) - physics , amplitude , instability , lattice (music) , oscillation (cell signaling) , bifurcation , pattern formation , bifurcation theory , hopf bifurcation , condensed matter physics , liquid crystal , crystal system , classical mechanics , quantum mechanics , crystal structure , nonlinear system , genetics , acoustics , biology , chemistry , crystallography
An amplitude equation for the Hopf bifurcation of cellular patterns is studied. A kind of phase instability of the amplitude equation leads to the generation of a target pattern. It is a possible mechanism of the target pattern found in nematic liquid crystal
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