Turing and Turing--Hopf Instabilities in Certain Kind of a Nonselfadjoint Reaction--Diffusion System
DOI:
https://doi.org/10.5890/JAND.2025.12.010Abstract
In this paper are being studied Turing and Turing--Hopf instabilities of solutions for reaction--diffusion systems under a certain type of nonselfadjoint boundary conditions. The root subspaces of the Laplace operator provided with such boundary conditions form a Riesz basis of subspaces of $L_2(\Omega)$, that allows the standard procedure for the study of spatial or spatiotemporal pattern formation by considering the unstable Fourier normal modes of the linearized perturbations.References
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