In this paper we focus on a morphochemical reaction-diffusion model for metal growth whose capability to support spatial patterns was essentially associated to the diffusion- driven instability of a specific system equilibrium, the equilibrium Pe. However, this model exhibits a rich multiplicity of other equilibria. We show that several bifurca- tions involving some of the many equilibria of the DIB model can affect the system spatial-organization properties by allowing for the existence of a subregion inside the Pe’s Turing parameter space where the system trajectories can also tend towards a spa- tially homogeneous equilibrium and the existence of a region outside the Pe’s Turing parameter space where spatial patterns can emerge.

Bifurcation of equilibria in a mathematical model for metal growth

Lacitignola,D.
2018

Abstract

In this paper we focus on a morphochemical reaction-diffusion model for metal growth whose capability to support spatial patterns was essentially associated to the diffusion- driven instability of a specific system equilibrium, the equilibrium Pe. However, this model exhibits a rich multiplicity of other equilibria. We show that several bifurca- tions involving some of the many equilibria of the DIB model can affect the system spatial-organization properties by allowing for the existence of a subregion inside the Pe’s Turing parameter space where the system trajectories can also tend towards a spa- tially homogeneous equilibrium and the existence of a region outside the Pe’s Turing parameter space where spatial patterns can emerge.
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11580/69538
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 2
social impact