Logarithmic Lipschitz norms and diffusion-induced instability
نویسندگان
چکیده
This paper proves that contractive ordinary differential equation systems remain contractive when diffusion is added. Thus, diffusive instabilities, in the sense of the Turing phenomenon, cannot arise for such systems. An important biochemical system is shown to satisfy the required conditions.
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ورودعنوان ژورنال:
- Nonlinear analysis, theory, methods & applications
دوره 83 شماره
صفحات -
تاریخ انتشار 2013