On Muldowney's Criteria for Polynomial Vector Fields with Constraints
Co-author(s): Hassan Errami, Thomas Sturm and Andreas Weber
Reference: Computer Algebra in Scientific Computing - CASC 2011, V.P. Gerdt, W. Koepf, E.W. Mayr, E.V. Vorozhtsov (eds.), Springer-Verlag, Berlin 2011, Lecture Notes in Computer Science 6885, pp. 135-143
Description: We present some case studies for applying Muldowney's criteria for the exclusion of periodic solutions to several systems in the life sciences. As in [81] , a main point is the algorithmic evaluation of the criteria using quantifier elimination. We consider in particular situations where a conservation law like constraint exists and study the effect of various applications of this constraint on the conclusiveness of the criteria.
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