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Título:
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Integrability conditions of a resonant saddle in generalized Liénard-like complex polynomial differential systems
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Autor/a:
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Giné, Jaume; Llibre, Jaume
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Notas:
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We consider a complex differential system with a resonant saddle at the origin. We compute the resonant saddle quantities and using Gröbner bases we find the integrability conditions for such systems up to a certain degree. We also establish a conjecture about the integrability conditions for such systems when they have arbitrary degree.
The first author is partially supported by a MINECO/ FEDER grant
number MTM2014-53703-P and an AGAUR (Generalitat de Catalunya)
grant number 2014SGR 1204. The second author is partially
supported by a MINECO grant MTM2013-40998-P, an AGAUR grant
number 2014SGR-568, and the grants FP7-PEOPLE-2012-IRSES 318999
and 316338. |
Derechos:
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(c) Elsevier, 2017
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Tipo de documento:
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Artículo submittedVersion |
Editor:
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Elsevier
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