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A pattern-forming instability co-driven by distinct mechanisms increases pattern diversity

Published 2 Nov 2013 in nlin.PS, math-ph, math.MP, and physics.bio-ph | (1311.0411v1)

Abstract: We use the context of dryland vegetation to study a general problem of complex pattern forming systems - multiple pattern-forming instabilities that are driven by distinct mechanisms but share the same spectral properties. We find that the co-occurrence of such instabilities results in the growth of a single mode rather than two interacting modes. The interplay between the two mechanisms, which promote or counteract each other, compensates for the simpler dynamics of a single mode by inducing higher pattern diversity. Possible implications to biodiversity of ecosystems are discussed.

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