Some remarks on matrix stability with application to Turing instability

R.A Satnoianu,P Van Den Driessche

doi:10.1016/j.laa.2004.04.003

Some remarks on matrix stability with application to Turing instability

R.A Satnoianu, P Van Den Driessche

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https://doi.org/10.1016/j.laa.2004.04.003

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Journal: Linear Algebra and Its Applications	Publication Date: Jun 15, 2004
Citations: 25	License type: elsevier-specific: oa user license

Affiliation: City, University of London, University of Victoria

#Nonreal Eigenvalues #Matrix Stability + Show 3 more

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Abstract

An example of a 4×4 matrix is given that provides a counterexample to a result on Turing (diffusion-driven) instability and also answers negatively a conjecture on strong stability. Such instability is shown to arise from nonreal eigenvalues. The relevance and the connection of our example to classes of matrix stability known in the literature are discussed.

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