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

Giné, Jaume; Valls, Claudia

doi:https://doi.org/10.1016/j.jsc.2015.04.001

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Issue date

2016

Author

Giné, Jaume

Valls, Claudia

Suggested citation

Giné, Jaume; Valls, Claudia; . (2016) . 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.

Abstract

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.

URI

http://hdl.handle.net/10459.1/58392

DOI

https://doi.org/10.1016/j.jsc.2015.04.001

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Journal of Symbolic Computation, 2016, vol. 73, p. 250-267

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Except where otherwise noted, this item's license is described as cc-by-nc-nd (c) Elsevier, 2016