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

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Issue date
2016Suggested citation
Giné, Jaume;
Valls, Claudia;
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(2016)
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Center problem in the center manifold for quadratic differential systems in R^3.
Journal of Symbolic Computation, 2016, vol. 73, p. 250-267.
https://doi.org/10.1016/j.jsc.2015.04.001.
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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.