Pattern Formation and Periodic Structures in Systems Modeled by Reaction-diffusion Equations
نویسندگان
چکیده
u(x, /) is an n vector which defines the state of the system at a given point x at time /. The nonlinear function F describes the "kinetics" of the medium while the diffusion effects enter via the term AAu. A is a diagonal matrix with nonnegative entries and A is the Laplace operator in the appropriate number of space dimensions, in this paper one or two. In a spatially homogeneous configuration the state of the system evolves according to
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