https://doi.org/10.1140/epjb/e2005-00033-7
A model reaction diffusion system under spatial perturbation: theoretical and numerical investigation
Indian Association for the Cultivation of Science,
Jadavpur, 700 032 Kolkata, India
Corresponding author: a pcdsr@mahendra.iacs.res.in
Received:
9
June
2004
Revised:
19
October
2004
Published online:
11
February
2005
We consider a model (Lengyel-Epstein) reaction-diffusion system under spatial parametric modulation and demonstrate the effect of resonance shift of the Hopf-Turing boundary. A systematic perturbative and numerical analysis shows that this shift may induce spatial inhomogeneity on an homogeneous stable state resulting in pattern formation.
PACS: 82.40.Ck – Pattern formation in reactions with diffusion, flow and heat transfer / 47.54.+r – Pattern selection; pattern formation / 87.10.+e – General theory and mathematical aspects
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2005