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- W167289627 abstract "AbstractWe study Muldowney’s extension of the classical Bendixson-Dulac criterion for excluding periodic orbits to higher dimensions for polynomial vector fields. Using the formulation of Muldowney’s sufficient criteria for excluding periodic orbits of the parameterized vector field on a convex set as a quantifier elimination problem over the ordered field of the reals we provide case studies of some systems arising in the life sciences. We discuss the use of simple conservation constraints and the use of parametric constraints for describing simple convex polytopes on which periodic orbits can be excluded by Muldowney’s criteria.KeywordsPeriodic OrbitPolynomial VectorElimination ProblemCylindrical Algebraic DecompositionDulac FunctionThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves." @default.
- W167289627 created "2016-06-24" @default.
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- W167289627 date "2011-01-01" @default.
- W167289627 modified "2023-10-11" @default.
- W167289627 title "On Muldowney’s Criteria for Polynomial Vector Fields with Constraints" @default.
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- W167289627 doi "https://doi.org/10.1007/978-3-642-23568-9_11" @default.
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