Scheme:
This model is a variant of the Brusselator model, in which the last step is replaced by B+X--->Y.
PDEs:
- J. Schnackenberg, J. Theor. Biol. 81, 389 (1979).
- "Numerical studies of Turing patterns selection in a two-dimensional system", V. Dufiet and J. Boissonade, Physica A 188, 158 (1992).
- "Conventional and unconventional Turing patterns", V. Dufiet and J. Boissonade, J. Chem. Phys. 96, 664 (1992). (PDF)
- Dufiet, V. and Boissonade, J., "Dynamics of Turing pattern monolayers close to onset", Phys. Rev. E 53, 4883 (1996)
(PDF).
Boissonade model:
Regarding the (0,0), when k=0, the bif. a=b gives zero Re and Im.
The pure Turing
(d=20)
Perturbation theory: multiple scaling analysis
For Turing patterns in hexagonal lattice near the Turing bif.
The nonlinear terms are
In detail, they are:
