Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Amplitude Equations for Reaction-Diffusion Systems with a Hopf
  Bifurcation and Slow Real Modes   Using a normal form approach described in a previous paper we derive an
amplitude equation for a reaction-diffusion system with a Hopf bifurcation
coupled to one or more slow real eigenmodes. The new equation is useful even
for systems where the actual bifurcation underlying the description cannot be
realized, which is typical of chemical systems. For a fold-Hopf bifurcation,
the equation successfully handles actual chemical reactions where the complex
Ginzburg-Landau equation fails. For a realistic chemical model of the
Belousov-Zhabotinsky reaction, we compare solutions to the reaction-diffusion
equation with the approximations by the complex Ginzburg-Landau equation and
the new distributed fold-Hopf equation.

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The categories of this paper are: ao-sci
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The categories of this paper are: plasm-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: math-ph
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The categories of this paper are: physics
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The categories of this paper are: dg-ga
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The categories of this paper are: math
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The categories of this paper are: stat
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-th
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The categories of this paper are: alg-geom
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The categories of this paper are: cs
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The categories of this paper are: supr-con
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The categories of this paper are: gr-qc
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The categories of this paper are: q-fin
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The categories of this paper are: eess