A piecewise-linear. 3-variable autonomous O.D.E. of C0 type, known to describe constantshape travelling waves in one-dimensional reaction-diffusion media of Rinzel-Keller type, is numerically shown to possess a chaotic attractor in state space. An analytical method proving the possibility of chaos is outlined and a set of parameters yielding Shil'nikov chaos indicated. A symbolic dynamics technique can be used to show how the limiting chaos dominates the behavior even of the finite boundary value problem.
Received: 1984-11-8
Published Online: 2014-6-2
Published in Print: 1984-12-1
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