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Spatio-temporal dynamics in a Turing model

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Unifying Themes in Complex Systems
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Abstract

In this paper we study numerically two-dimensional spatio-temporal pattern formation in a generic Turing model, by investigating the dynamical behavior of a monostable system in the presence of Turing-Hopf bifurcation. In addition, we study the interaction of instabilities in a tristable system. We speculate that the interaction of spatial and temporal instabilities in Turing systems might bring some insight to a recent biological finding of temporal patterns on animal skin.

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Leppänen, T., Karttunen, M., Barrio, R.A., Kaski, K. (2011). Spatio-temporal dynamics in a Turing model. In: Minai, A.A., Braha, D., Bar-Yam, Y. (eds) Unifying Themes in Complex Systems. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-17635-7_26

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