Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Composite "zigzag" structures in the 1D complex Ginzburg-Landau equation   We study the dynamics of the one-dimensional complex Ginzburg Landau equation
(CGLE) in the regime where holes and defects organize themselves into composite
superstructures which we call zigzags. Extensive numerical simulations of the
CGLE reveal a wide range of dynamical zigzag behavior which we summarize in a
`phase diagram'. We have performed a numerical linear stability and bifurcation
analysis of regular zigzag structures which reveals that traveling zigzags
bifurcate from stationary zigzags via a pitchfork bifurcation. This bifurcation
changes from supercritical (forward) to subcritical (backward) as a function of
the CGLE coefficients, and we show the relevance of this for the `phase
diagram'. Our findings indicate that in the zigzag parameter regime of the
CGLE, the transition between defect-rich and defect-poor states is governed by
bifurcations of the zigzag structures.

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The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
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The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
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The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-fin
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The categories of this paper are: atom-ph
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The categories of this paper are: eess
10
The categories of this paper are: q-bio
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The categories of this paper are: q-alg
2
The categories of this paper are: math
23
The categories of this paper are: solv-int