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Updated: Feb 7, 2026

Patterning via Optical Saturable Transitions - Fabrication and Characterization
Published on: December 11, 2014
Parametric transitions between bare and vegetated states in water-driven patterns
Matteo Bernard Bertagni1, Paolo Perona2, Carlo Camporeale3
1Department of Environment, Land and Infrastructure Engineering, Politecnico di Torino, 10129 Turin, Italy; matteo.bertagni@polito.it.
Abstract:
Conditions for vegetation spreading and pattern formation are mathematically framed through an analysis encompassing three fundamental processes: flow stochasticity, vegetation dynamics, and sediment transport. Flow unsteadiness is included through Poisson stochastic processes whereby vegetation dynamics appears as a secondary instability, which is addressed by Floquet theory. Results show that the model captures the physical conditions heralding the transition between bare and vegetated fluvial states where the nonlinear formation and growth of finite alternate bars are accounted for by Center Manifold Projection. This paves the way to understand changes in biogeomorphological styles induced by man in the Anthropocene and of natural origin since the Paleozoic (Devonian plant hypothesis).
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