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Communication Dans Un Congrès Année : 2018

Lie algebras and geometric complexity of an isochronous center condition

Résumé

Using the mould formalism introduced by Jean Ecalle, we define and study the geometric complexity of an isochronous center condition. The role played by several Lie ideals is discussed coming from the interplay between the universal mould of the correction and the different Lie algebras generated by the comoulds. This strategy enters in the general program proposed by J. Ecalle and D. Schlomiuk in [4] to study the size and splitting of some Lie ideals for the linearisability problem.
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Dates et versions

hal-02388709 , version 1 (02-12-2019)

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  • HAL Id : hal-02388709 , version 1

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Jacky Cresson, Jordy Palafox. Lie algebras and geometric complexity of an isochronous center condition. Fourteenth International Conference Zaragoza-Pau on Mathematics and its Applications, 2018, Jaca, Spain. pp.75 - 83. ⟨hal-02388709⟩
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