Center problem in the center manifold for quadratic differential systems in R^3

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2016
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Giné, JaumeGiné, Jaume - ORCID ID
Valls, Claudia
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cc-by-nc-nd (c) Elsevier, 2016
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Using tools of computer algebra based on the Gröbner basis theory we derive conditions for the existence of a center on a local center manifold for fifteen seven-parameter families of quadratic systems on R 3. To obtain the results we use modular arithmetics.
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Journal of Symbolic Computation, 2016, vol. 73, p. 250-267