Abstract.
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.
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Kar, S., Bhattacharjee, J. & Ray, D. A model reaction diffusion system under spatial perturbation: theoretical and numerical investigation. Eur. Phys. J. B 43, 109–114 (2005). https://doi.org/10.1140/epjb/e2005-00033-7
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DOI: https://doi.org/10.1140/epjb/e2005-00033-7