Add to ORKGWe focus on the morphochemical reaction-diffusion model introduced in [13] and carry out a nonlinear bifurcation analysis with the aim to characterize the shape and the amplitude of the patterns close to the marginal stability of the physically relevant equilibrium. We perform a weakly nonlinear multiple scales analysis for both the 1D and 2D spatial case, deriving the equations for the amplitude of the stationary patterns. The analysis of such amplitude equations reveals a large number of interesting phenomena for the system as stable supercritical and subcritical Turing patterns and an hysteretic-type phenomenology due to multiple branches of stable solutions arising in the subcritical case. Moreover, in case of large domains, we show tha...
summary:The paper deals with the issue of self-organization in applied sciences. It is particularly ...
In this work we are interested in describing the mechanism of pattern formation for a reaction-diffu...
AbstractSeveral models have been proposed for describing the formation of animal coat patterns. We c...
We focus on the morphochemical reaction-diffusion model introduced in Bozzini et al. (2013) and carr...
We focus on the morphochemical reaction-diffusion model introduced in Bozzini et al. (2013) and carr...
We focus on the morphochemical reaction–diffusion model introduced in Bozzini et al. (2013) and car...
We focus on the morphochemical reaction–diffusion model introduced in Bozzini et al. (2013) and car...
We focus on the morphochemical reaction–diffusion model introduced in Bozzini et al. (2013) and car...
We focus on the morphochemical reaction–diffusion model introduced in Bozzini et al. (2013) and car...
We focus on the morphochemical reaction–diffusion model introduced in Bozzini et al. (2013) and car...
We focus on the morphochemical reaction–diffusion model introduced in Bozzini et al. (2013) and car...
In this work we investigate the effect of density-dependent nonlinear diffusion on pattern formation...
In this work we investigate the effect of density-dependent nonlinear diffusion on pattern formation...
We consider the classical Turing instability in a reaction-diffusion system as the secend part of ou...
summary:The paper deals with the issue of self-organization in applied sciences. It is particularly ...
summary:The paper deals with the issue of self-organization in applied sciences. It is particularly ...
In this work we are interested in describing the mechanism of pattern formation for a reaction-diffu...
AbstractSeveral models have been proposed for describing the formation of animal coat patterns. We c...
We focus on the morphochemical reaction-diffusion model introduced in Bozzini et al. (2013) and carr...
We focus on the morphochemical reaction-diffusion model introduced in Bozzini et al. (2013) and carr...
We focus on the morphochemical reaction–diffusion model introduced in Bozzini et al. (2013) and car...
We focus on the morphochemical reaction–diffusion model introduced in Bozzini et al. (2013) and car...
We focus on the morphochemical reaction–diffusion model introduced in Bozzini et al. (2013) and car...
We focus on the morphochemical reaction–diffusion model introduced in Bozzini et al. (2013) and car...
We focus on the morphochemical reaction–diffusion model introduced in Bozzini et al. (2013) and car...
We focus on the morphochemical reaction–diffusion model introduced in Bozzini et al. (2013) and car...
In this work we investigate the effect of density-dependent nonlinear diffusion on pattern formation...
In this work we investigate the effect of density-dependent nonlinear diffusion on pattern formation...
We consider the classical Turing instability in a reaction-diffusion system as the secend part of ou...
summary:The paper deals with the issue of self-organization in applied sciences. It is particularly ...
summary:The paper deals with the issue of self-organization in applied sciences. It is particularly ...
In this work we are interested in describing the mechanism of pattern formation for a reaction-diffu...
AbstractSeveral models have been proposed for describing the formation of animal coat patterns. We c...