Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: (In)Stability of Travelling Waves in a Model of Haptotaxis   We examine the spectral stability of travelling waves of the haptotaxis model
studied in Harley et al (2014a). In the process we apply Li\'enard coordinates
to the linearised stability problem and use a Riccati-transform/Grassmanian
spectral shooting method \'a la Harley et al (2015), Ledoux et al (2009) and
Ledoux et al (2010) in order to numerically compute the Evans function and
point spectrum of a linearised operator associated with a travelling wave. We
numerically show the instability of non-monotone waves (type IV) and the
stability of the monotone ones (types I-III) to perturbations in an
appropriately weighted space.

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The categories of this paper are: funct-an
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The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
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The categories of this paper are: adap-org
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The categories of this paper are: eess
4
The categories of this paper are: cond-mat
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The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: nlin
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The categories of this paper are: acc-phys
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The categories of this paper are: patt-sol
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The categories of this paper are: dg-ga
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The categories of this paper are: math-ph
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The categories of this paper are: chao-dyn