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Titlebook: Computer Algebra in Scientific Computing; 15th International W Vladimir P. Gerdt,Wolfram Koepf,Evgenii V. Vorozht Conference proceedings 20

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https://doi.org/10.1007/978-1-4613-4229-8ed by the Java Algebra System. Type classes are then introduced as an alternate abstraction scheme and shown to be eventually better suited for modeling categories. Pro and cons of the two approaches are discussed and a hybrid solution is exhibited.
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Polyhedral Methods for Space Curves Exploiting Symmetry Applied to the Cyclic ,-roots Problem,thm is well suited for exploitation of symmetry, when it arises in systems of polynomials. Initial form systems with pretropisms in the same group orbit are solved only once, allowing for a systematic filtration of redundant data. Computations with cddlib, Gfan, PHCpack, and Sage are illustrated on cyclic .-roots polynomial systems.
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Efficient Methods to Compute Hopf Bifurcations in Chemical Reaction Networks Using Reaction Coordincoordinates. For this purpose we provide heuristics on the basis of the Newton polytope that ensure the existence of positive and negative values of the polynomial for positive coordinates. We apply our method to the example of the Methylene Blue Oscillator (MBO).
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General concepts from universal algebra, detail. The stability analysis of equilibria is performed on the basis of Lyapunov’s theorem. It is shown that the number of equilibria of the gyrostat satellite in general case is no less than 8 and no more than 24, and the number of stable equilibria changes from 4 to 2.
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Symbolic-Numerical Investigation of Gyrostat Satellite Dynamics, detail. The stability analysis of equilibria is performed on the basis of Lyapunov’s theorem. It is shown that the number of equilibria of the gyrostat satellite in general case is no less than 8 and no more than 24, and the number of stable equilibria changes from 4 to 2.
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