Liu, R. T. and Liaw, S. S. and Maini, P. K. (2007) *Oscillatory Turing Patterns in a Simple Reaction-Diffusion System.* Journal of the Korean Physical Society, 50 (1). pp. 234-238.

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## 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.

Item Type: | Article |
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Additional Information: | n/a |

Uncontrolled Keywords: | Oscillatory Turing pattern reaction-diffusion nonlinear |

Subjects: | A - C > Biology and other natural sciences |

Research Groups: | Centre for Mathematical Biology |

ID Code: | 573 |

Deposited By: | Philip Maini |

Deposited On: | 27 Feb 2007 |

Last Modified: | 20 Jul 2009 14:22 |

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