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Título:
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Non-bifurcation of critical periods from semi-hyperbolic polycycles of quadratic centres
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Autor/a:
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Marín, D.; Saavedra, M.; Villadelprat, J.
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Abstract:
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In this paper we consider the unfolding of saddle-node parametrized by with and in an open subset of and we study the Dulac time of one of its hyperbolic sectors. We prove (theorem 1.1) that the derivative tends to as uniformly on compact subsets of This result is addressed to study the bifurcation of critical periods in the Loud's family of quadratic centres. In this regard we show (theorem 1.2) that no bifurcation occurs from certain semi-hyperbolic polycycles. © The Author(s), 2021. Published by Cambridge University Press on behalf of The Royal Society of Edinburgh. |
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Fecha de creación:
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01-12-2021 |
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Materias (CDU):
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51 - Matemàtiques |
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Materia(s):
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asymptotic expansions; Dulac time; Period function; saddle-node unfolding |
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Derechos:
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L'accés als continguts d'aquest document queda condicionat a l'acceptació de les condicions d'ús establertes per la següent llicència Creative Commons: https://creativecommons.org/licenses/by/4.0/ |
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Páginas:
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9 p. |
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Tipo de documento:
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Artículo
Artículo - Versión aceptada |
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DOI:
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10.1017/prm.2021.72
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Editor:
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Cambridge University Press
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Publish at:
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Proceedings of the Royal Society of Edinburgh Section A: Mathematics
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Compartir:
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