dc.contributor.author
Gasull, A.
dc.contributor.author
Santana, P.
dc.date.accessioned
2025-01-21T10:49:31Z
dc.date.available
2025-01-21T10:49:31Z
dc.date.issued
2024-11-06
dc.identifier.uri
http://hdl.handle.net/2072/480067
dc.description.abstract
We study the number of limit cycles that a planar polynomial vector field can have as a function of its number m of monomials. We prove that the number of limit cycles increases at least quadratically with m and we provide good lower bounds for m <= 10.
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dc.description.sponsorship
This work is supported by the Spanish State Research Agency, through the Projects PID2022-136613NB-I00 Grant and the Severo Ochoa and Maria de Maeztu Program for Centers and Units of Excellence in R&D (CEX2020-001084-M), Grant 2021-SGR-00113 from AGAUR, Generalitat de Catalunya, and by S & atilde;o Paulo Research Foundation (FAPESP), Grants 2019/10269-3, 2021/01799-9 and 2022/14353-1.
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dc.format.extent
14 p.
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dc.publisher
IOP Publishing
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dc.relation.ispartof
Nonlinearity
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dc.rights
Attribution-NonCommercial-NoDerivatives 4.0 International
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dc.rights.uri
http://creativecommons.org/licenses/by-nc-nd/4.0/
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dc.source
RECERCAT (Dipòsit de la Recerca de Catalunya)
dc.subject.other
Limit cycles
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dc.subject.other
Hilbert 16th problem
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dc.subject.other
Abelian integrals
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dc.title
On a variant of Hilbert's 16th problem
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dc.type
info:eu-repo/semantics/article
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dc.description.version
info:eu-repo/semantics/acceptedVersion
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dc.identifier.doi
10.1088/1361-6544/ad8c1b
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dc.rights.accessLevel
info:eu-repo/semantics/openAccess
