Turing-Hopf front invasion: Rings and shells | Zendy

Delora K. Gaskins | Zendy; Jamie S. Soohoo | Zendy; Irving R. Epstein | Zendy; Miloš Dolnik | Zendy

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Turing-Hopf front invasion: Rings and shells

Author(s) -

Delora K. Gaskins,

Jamie S. Soohoo,

Irving R. Epstein,

Miloš Dolnik

Publication year - 2018

Publication title -

physical review. e

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.896

H-Index - 304

eISSN - 2470-0053

pISSN - 2470-0045

DOI - 10.1103/physreve.98.040201

Subject(s) - turing , physics , oscillation (cell signaling) , hopf bifurcation , amplitude , pattern formation , classical mechanics , optics , quantum mechanics , chemistry , computer science , biology , bifurcation , biochemistry , nonlinear system , genetics , programming language

Invasion of Turing patterns into a region of bulk oscillations was investigated in the Belousov-ZhabotinskyAerosol OT reverse microemulsion system. Three distinct mechanisms for the formation of Turing structures at the expense of the bulk oscillation region were observed: frozen waves, which have been reported previously in this system, and reflecting waves and Turing-Hopf fronts, which have not. Turing-Hopf fronts appeared as the outer rings in this quasi-two-dimensional system with an amplitude intermediate between those of the Turing pattern and the phase waves in the bulk oscillation region. Three-dimensional (3D) Turing-Hopf shells (outer layers of 3D balls) were also observed.

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