Search results
The objective of this paper is to review the derivation of models for pattern formation, and the characterization of systems that will develop temporally stable spatial patterns. Special emphasis is made on Turing instabilities, which are the most commonly discussed mechanisms for pattern formation.
17 sty 2003 · Patterns delineated by distinct stone and soil (fine-grained) domains visible at the ground surface are formed by cyclic freezing and thawing of decimeter- to meter-thick soil layers in polar and high alpine environments.
10 maj 2023 · Self-organizing diffusion-reaction systems naturally form complex patterns under far-from-equilibrium conditions. A representative example is the rhythmic concentration pattern of Fe-oxides in Zebra rocks; these patterns include reddish-brown stripes, rounded rods, and elliptical spots.
We present a theory of diffusive pattern formation for reaction–diffusion systems defined over generic undirected temporal networks. We first review the Turing instability mechanism on static networks in § 2, comparing and contrasting results for both types of space domain.
8 lis 2021 · In the present paper, we are concerned with the emergence of patterns in spatially heterogeneous reaction–diffusion systems, and in particular how this spatial heterogeneity modifies both the Turing instability and resulting Turing patterns.
24 wrz 2010 · The reaction-diffusion (Turing) model is a theoretical model used to explain self-regulated pattern formation in biology. Although many biologists have heard of this model, a better understanding of the concept would aid its application to many research projects and developmental principles.
31 paź 2014 · These patterns demonstrate that, for appropriate model parameter values, reaction-diffusion systems with or without cross-diffusion can select identical transient patterns during the bifurcation process, even though the transient process throughout the evolution process is different.
