Powered by OpenAIRE graph
Found an issue? Give us feedback
addClaim

Localized Turing and Turing-Hopf Patterns

Authors: Borckmans, Pierre; Jensen, Ole Riis; Pannbacker, V.O.; Mosekilde, Erik; Dewel, Guy; De Wit, Anne;

Localized Turing and Turing-Hopf Patterns

Abstract

In systems driven away from thermodynamic equilibrium, patchiness often arises through the occurrence of symmetry breaking bifurcations. Diffusive instabilities resulting from differential diffusion processes acting in the presence of some autocatalytic kinetic scheme enter that class of phenomena to produce stationary space periodic (Turing) or spatiotemporal (Hopf) patterns. Turing patterns have at last recently been obtained when the isothermal Chlorite-Iodide-Malonic Acid (CIMA) reaction takes place in a continuously fed gel reactor in the presence of starch. On varying the malonic acid or starch concentrations a transition from stationary Turing structures to Hopf wavy patterns occurs. In the transition region, where both instabilities interact, a host of interesting behaviours may occur. Among these, new intrinsically localized patterns may form that give rise to new types of patchinesses. All of these structures may be accounted for through the study of the bifurcation behaviour of simple theoretical reaction-diffusion models.

Country
Belgium
Keywords

Chimie théorique

  • BIP!
    Impact byBIP!
    selected citations
    These citations are derived from selected sources.
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    2
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    Average
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    Average
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    Average
Powered by OpenAIRE graph
Found an issue? Give us feedback
selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
Average
Average
Related to Research communities
Upload OA version
Are you the author of this publication? Upload your Open Access version to Zenodo!
It’s fast and easy, just two clicks!