Segmented waves from a spatiotemporal transverse wave instability


Lingfa Yang, Igal Berenstein, and Irving R. Epstein,
Phys. Rev. Lett. 95, 38303 (2005).

Experiment (CDIMA reaction) Simulation (Brusselator model)
Fig.1(d)

Segmentation and Staggering motion
a) b) c)
Fig.3(a) Fig.3(a) Fig.3(a)

Segmented spiral,

Segmented target
Fig.4

  1. Resolution: space mesh 0.25 s.u.; time step 1.0x10-4 t.u.
  2. Conditions: the system locates far above the codimension-2 Hopf-Turing bifurcation.
  3. Why does a continuous spiral break up into segments? We attribute the segmentation to an interaction between excitation wave front rippling via a transverse instability and front symmetry-breaking by a fast-diffusing inhibitor far from the codimension-2 Hopf-Turing bifurcation.
  4. Why Staggering? --- secondary instability of the periodic segmentation.


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