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Deformations of the bifurcation diagram due to discretization

Authors: J. Bigge and E. Bohl
Journal: Math. Comp. 45 (1985), 393-403
MSC: Primary 65L10; Secondary 58F14
MathSciNet review: 804931
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Abstract: With a singular perturbation problem occurring in chemical reaction processes, substantial changes of the bifurcation diagram due to discretization are demonstrated. It is shown that a discrete system can possess any number of solutions, whereas the underlying continuous problem has exactly one solution. In addition to that, there is no way to favor one of the various discrete solutions as the one approximating the continuous solution.

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Keywords: Discrete deformations of bifurcation diagrams
Article copyright: © Copyright 1985 American Mathematical Society