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Solution to Briot and Bouquet problem on singularities of differential equations

Abstract : We solve Briot and Bouquet problem (1856) on the existence of non-monodromic (multivalued) solutions for singularities of differential equations in the complex domain. The solution is an application of hedgehog dynamics for indifferent irrational fixed points. We present an important simplification by only using a local hedgehog for which we give a simpler and direct construction of quasi-invariant curves which does not rely on complex renormalization.
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https://hal.archives-ouvertes.fr/hal-01707628
Contributor : Ricardo Pérez-Marco Connect in order to contact the contributor
Submitted on : Monday, February 12, 2018 - 10:51:56 PM
Last modification on : Thursday, March 26, 2020 - 9:25:46 PM
Long-term archiving on: : Sunday, May 6, 2018 - 8:11:04 AM

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  • HAL Id : hal-01707628, version 1

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Ricardo Pérez-Marco. Solution to Briot and Bouquet problem on singularities of differential equations. 2018. ⟨hal-01707628v1⟩

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