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APS » Journals » Phys. Rev. Lett. » Volume 90 » Issue 17
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Phys. Rev. Lett. 90, 178303 (2003) [4 pages]

Oscillatory Turing Patterns in Reaction-Diffusion Systems with Two Coupled Layers

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Lingfa Yang and Irving R. Epstein*
Department of Chemistry and Center for Complex Systems, MS 015, Brandeis University, Waltham, Massachusetts 02454-9110, USA

Received 12 December 2002; published 1 May 2003

A model reaction-diffusion system with two coupled layers yields oscillatory Turing patterns when oscillation occurs in one layer and the other supports stationary Turing structures. Patterns include “twinkling eyes,” where oscillating Turing spots are arranged as a hexagonal lattice, and localized spiral or concentric waves within spotlike or stripelike Turing structures. A new approach to generating the short-wave instability is proposed.

© 2003 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.90.178303
DOI:
10.1103/PhysRevLett.90.178303
PACS:
82.40.Bj, 82.20.–w, 89.75.Kd

*To whom correspondence should be addressed.

Electronic address: epstein@brandeis.edu

 
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