SIAM Journal on Applied Mathematics · 1977 · 48 citations · 10 references
Natural SciencesBiochemistryBiologyChemical KineticsDynamical SystemsMorphogenesisBifurcation TheoryNonlinear DynamicsReaction DynamicsAsymptotic ExpansionsBifurcationBifurcation AnalysisBiochemical Reaction Networks
We use an asymptotic method to show that secondary bifurcation occurs in a model biochemical reaction studied as a simplified example of morphogenesis. The secondary bifurcation points are computed, and asymptotic expansions for the secondary branches are presented.
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I. Prigogine, G. Nìcolis, Agnes Babloyantz · Physics Today · 1972 · 415 citations
Multiple Eigenvalues Lead to Secondary Bifurcation
Louis A. Bauer, Herbert B. Keller, Edward L. Reiss · SIAM Review · 1975 · 181 citations