2 Spatio-Temporal Dynamics of Reaction-Diffusion Patterns

  title={2 Spatio-Temporal Dynamics of Reaction-Diffusion Patterns},
  author={Bernold Fiedler and Arnd Scheel},
In this survey we look at parabolic partial differential equations from a dy-namical systems point of view. With origins deeply rooted in celestial mechanics , and many modern aspects traceable to the monumental influence of Poincaré, dynamical systems theory is mainly concerned with the global time evolution T (t)u 0 of points u 0 — and of sets of such points — in a more or less abstract phase space X. The success of dynamical concepts such as gradient flows, invariant manifolds, ergodicity… CONTINUE READING


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