Phys. Rev. Lett. 82, 1160–1163 (1999)Alternative Scenarios of Spiral Breakup in a Reaction-Diffusion Model with Excitable and Oscillatory DynamicsReceived 15 May 1998; published in the issue dated 8 February 1999 Instabilities (breakup) of spiral waves in two dimensions and their one-dimensional analogs—wave trains triggered by a specific boundary condition—leading to spatiotemporally chaotic dynamics are investigated in a simple activator-inhibitor model. These instabilities always require an absolute instability of the emitted wave trains and coincide with the Eckhaus instability for the excitable case, while for oscillatory conditions the well-known convective variant of the Eckhaus instability is found. The different cases correspond to different spiral breakup phenomenologies. © 1999 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.82.1160
DOI:
10.1103/PhysRevLett.82.1160
PACS:
82.40.Ck, 05.45.-a, 47.54.+r, 82.40.Bj
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