English

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

Pattern Formation and Solitons 2013-11-05 v1 Mathematical Physics math.MP Biological Physics

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.

Keywords

Cite

@article{arxiv.1311.0411,
  title  = {A pattern-forming instability co-driven by distinct mechanisms increases pattern diversity},
  author = {Shai Kinast and Yuval R. Zelnik and Golan Bel and Ehud Meron},
  journal= {arXiv preprint arXiv:1311.0411},
  year   = {2013}
}
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