In this paper, we numerically investigate the zebra skin pattern formation on the surface of a
zebra model in three-dimensional space. To model the pattern formation, we use the …

The effect of temperature on the bifurcation diagram and Turing instability domain under non
isothermal conditions is studied in the reversible Gray–Scott model. After adding the energy …

This paper examines how generative architectural design processes aim to apply the
principles of biological morphogenesis to the design and building of mechanical or …

The modulation of Turing patterns through Dirichlet boundary conditions has been studied
through the isothermal and non-isothermal versions of a Brusselator-like model in a small …

Many nonequilibrium systems, such as biochemical reactions and socioeconomic
interactions, can be described by reaction–diffusion equations that demonstrate a wide …

Constantly acting centrifugal forces on Turing pattern forming systems have been observed
to induce orientation and wavelength changes on Turing structures. Here, we will consider a …

An already established generative design methodology for bifurcating thin shell structures
with similar physical and geometrical principles of biological processes, is using the logic of …

At all scales and both in animate and inanimate systems, nature displays a wide variety of
colors, rhythms, and forms. For decades, these natural patterns and rhythms have been …

We report the destabilization of stationary Turing patterns and the subsequent emergence of
fast spatiotemporal dynamics due to reactant consumption. The localized hexagonal Turing …

The spontaneous formation of heterogeneous patterns is a hallmark of many nonlinear
systems, from biological tissue to evolutionary population dynamics. The standard model for …