Conference item

Oscillatory Turing patterns in a simple reaction-diffusion system

Abstract:: Turing suggested that, under certain conditions, chemicals can react and diffuse in such a way as to produce steady-state inhomogeneous spatial patterns of chemical concentrations. We consider a simple two-variable reaction-diffusion system and find there is a spatio-temporally oscillating solution (STOS) in parameter regions where linear analysis predicts a pure Turing instability and no Hopf instability. We compute the boundary of the STOS and spatially non-uniform solution (SSNS) regions and investigate what features control its behavior.

Publication status:: Published

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APA Style

Liu, R., Liaw, S., & Maini, P. (2007). Oscillatory Turing patterns in a simple reaction-diffusion system. 50(1), 234–238.

MLA Style

Liu, R., et al. Oscillatory Turing Patterns in a Simple Reaction-Diffusion System. no. 1, 2007, pp. 234–38.

Chicago Style

Liu, R, S Liaw, and P Maini. 2007. “Oscillatory Turing Patterns in a Simple Reaction-Diffusion System.” In , 50:234–38.
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Authors

+ Liu, R More by this author

Role:: Author

+ Liaw, S More by this author

Role:: Author

+ Maini, P More by this author

Institution:: University of Oxford
Division:: MPLS
Department:: Mathematical Institute
Role:: Author

Journal:: JOURNAL OF THE KOREAN PHYSICAL SOCIETY More from this journal
Volume:: 50
Issue:: 1
Pages:: 234-238
Publication date:: 2007-01-01
Event title:: 4th Dynamics Days Asia Pacific International Conference on Nonlinear Science (DDAP4)
ISSN:: 0374-4884

Keywords:: oscillatory Turing pattern

reaction-diffusion

nonlinear
Pubs id:: pubs:29299
UUID:: uuid:2dca3e98-02c2-4c5d-b914-2d751f3e1a72
Local pid:: pubs:29299
Source identifiers:: 29299
Deposit date:: 2012-12-19

Terms of use

Copyright date:: 2007

Licence:: Terms and Conditions of Use for Oxford University Research Archive

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