Abstract

We focus on the morphochemical reaction–diffusion model introduced in Bozzini et al. (2013) and carry out a nonlinear bifurcation analysis with the aim to characterize the shape and the amplitude of the patterns arising as the result of Turing instability of the physically relevant equilibrium. We perform a weakly nonlinear multiple scales analysis, and derive the normal form equations governing the amplitude of the patterns. These amplitude equations allow us to construct relevant solutions of the model equations and reveal the presence of multiple branches of stable solutions arising as the result of subcritical bifurcations. Hysteretic type phenomena are highlighted also through numerical simulations. We show the occurrence of spatial pattern propagation and derive the Ginzburg–Landau equation describing the envelope of the traveling wavefront.

Autore Pugliese

• Bozzini Benedetto , Sgura Ivonne

Tutti gli autori

• Bozzini B. , Gambino G. , Lacitignola D. , Lupo S. , Sammartino M. , Sgura I.

Titolo volume/Rivista

COMPUTERS & MATHEMATICS WITH APPLICATIONS

Anno di pubblicazione

2015

ISSN

0898-1221

ISBN

Non Disponibile

Numero di citazioni Wos

9

Ultimo Aggiornamento Citazioni

28/04/2018

Numero di citazioni Scopus

10

Ultimo Aggiornamento Citazioni

28/04/2018

Settori ERC

Non Disponibile

Codici ASJC

Non Disponibile