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Parametric Centers for Trigonometric Abel Equations Jean-Pierre Françoise 2159c0f3771eed8a0a654cf59fb44ad8 upmc.fr jean-pierre-francoise 10607 32164-10607 https://orcid.org/0000-0003-0699-1450 https://www.idref.fr/076182193 Jean-Pierre Francoise 2159c0f3771eed8a0a654cf59fb44ad8 upmc.fr 2016-11-17 17:51:23 2024-04-17 14:04:41 2016-11-17 17:51:23 2008-04-16 contributor Jean-Pierre Francoise 2159c0f3771eed8a0a654cf59fb44ad8 upmc.fr CCSD hal-01398810 https://hal.sorbonne-universite.fr/hal-01398810 francoise:hal-01398810 <i>Journal of Dynamics and Differential Equations</i>, 2008, 20 (4), pp.777 - 786. <a target="_blank" href="https://dx.doi.org/10.1007/s10884-008-9107-4">⟨10.1007/s10884-008-9107-4⟩</a> Journal of Dynamics and Differential Equations, 2008, 20 (4), pp.777 - 786. ⟨10.1007/s10884-008-9107-4⟩ Université Denis Diderot - Paris VII Université Pierre et Marie Curie CNRS - Centre national de la recherche scientifique Laboratoire Jacques-Louis Lions Réseau de recherche en Théorie des Systèmes Distribués, Modélisation, Analyse et Contrôle des Systèmes UPMC Pôle 1 Sorbonne Université Faculté des Sciences de Sorbonne Université Université Paris Cité Alliance Sorbonne Université International No Yes Parametric Centers for Trigonometric Abel Equations Jean-Pierre Françoise 2159c0f3771eed8a0a654cf59fb44ad8 upmc.fr jean-pierre-francoise 10607 32164-10607 https://orcid.org/0000-0003-0699-1450 https://www.idref.fr/076182193 15356 1040-7294 1572-9222 Journal of Dynamics and Differential Equations Springer Verlag 20 4 777 - 786 2008-04-16 10.1007/s10884-008-9107-4 English Mathematics [math]/Dynamical Systems [math.DS] Journal articles Journal articles Journal articles

his article is devoted to one-dimensional perturbative theory on R × S1. There is a recursive formula for the successive obstructions to parametric center at any order of the perturbation parameter. The first obstruction is studied by means of complex analysis techniques. This extends to the trigonometric case what was done previously for the polynomial case (Israel J. Math. 142, 273–283, 2004).

199712644L Laboratoire Jacques-Louis Lions LJLL

Université Pierre et Marie Curie, Boîte courrier 187 - 75252 Paris Cedex 05

https://www.ljll.math.upmc.fr https://ror.org/02en5vm52 Université Pierre et Marie Curie - Paris 6 UPMC 2017-12-31

4 place Jussieu - 75005 Paris

http://www.upmc.fr/ 027542084 0000000121514068 https://ror.org/02n7qrg46 Université Paris Diderot - Paris 7 UPD7 2019-12-31

5 rue Thomas-Mann - 75205 Paris cedex 13

http://www.univ-paris-diderot.fr 02636817X 0000000122597504 https://ror.org/02feahw73 Centre National de la Recherche Scientifique CNRS 1939-10-19

https://www.cnrs.fr/