Formation and Persistence of Spatiotemporal Turing Patterns

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dc.creatorKaper, Hans G.
dc.creatorWang, Shouhong
dc.creatorYari, Masoud
dc.date2007-06-15
dc.date.accessioned2026-07-07T08:10:27Z
dc.date.available2026-07-07T08:10:27Z
dc.descriptionThis article is concerned with the stability and long-time dynamics of structures arising from a structureless state. The paradigm is suggested by developmental biology, where morphogenesis is thought to result from a competition between chemical reactions and spatial diffusion. A system of two reaction-diffusion equations for the concentrations of two morphogens is reduced to a finite system of ordinary differential equations. The stability of bifurcated solutions of this system is analyzed, and the long-time asymptotic behavior of the bifurcated solutions is established rigorously. The Schnakenberg and Gierer-Meinhardt equations are discussed as examples.
dc.identifierhttps://arxiv.org/abs/0706.2309
dc.identifierhttp://arxiv.org/abs/0706.2309
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/131829
dc.subjectPattern Formation and Solitons
dc.titleFormation and Persistence of Spatiotemporal Turing Patterns
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