Karna Gowda's PRE paper is an Editors' Suggestion
Karna Gowda, Hermann Riecke and Mary Silber's article, "Transitions between patterned states in vegetation models for semiarid ecosystems," was selected by the editors of Physical Review E (PRE) to be one of the Editors' Suggestions. This is a short list of PRE papers that "the editors and referees find of particular interest, importance, or clarity," according to the PRE Announcement:
Announcement: PRE Editors' Suggestions (January 2, 2014) As a service to our readers, starting January 1 we will formally mark a small number of papers published in Physical Review E that the editors and referees find of particular interest, importance, or clarity. These Editors’ Suggestion papers will be listed on the journal’s website and marked with a special icon in print. The icon contains the printer’s mark that at one time appeared on the covers of all sections of the Physical Review.
The abstract for Gowda, Riecke and Silber's paper, published today, February 3, 2014, is as follows:
A feature common to many models of vegetation pattern formation in semiarid ecosystems is a sequence of qualitatively different patterned states, “gaps→ labyrinth→spots,” that occurs as a parameter representing precipitation decreases. We explore the robustness of this “standard” sequence in the generic setting of a bifurcation problem on a hexagonal lattice, as well as in a particular reaction-diffusion model for vegetation pattern formation. Specifically, we consider a degeneracy of the bifurcation equations that creates a small bubble in parameter space in which stable small-amplitude patterned states may exist near two Turing bifurcations. Pattern transitions between these bifurcation points can then be analyzed in a weakly nonlinear framework. We find that a number of transition scenarios besides the standard sequence are generically possible, which calls into question the reliability of any particular pattern or sequence as a precursor to vegetation collapse. Additionally, we find that clues to the robustness of the standard sequence lie in the nonlinear details of a particular model.
See pre.aps.org/#suggestions for a list of the most recently published Editors' Suggestions.