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

Shai Kinast; Yuval R. Zelnik; Golan Bel; Ehud Meron

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arXiv · 1311.0411

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

Shai Kinast·Yuval R. Zelnik·Golan Bel·Ehud Meron

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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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Shai Kinast, Yuval R. Zelnik, Golan Bel, Ehud Meron. 2013-11-02. A pattern-forming instability co-driven by distinct mechanisms increases pattern diversity. https://arxiv.org/abs/1311.0411

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