From an iteration formula to Poincaré's Isochronous Center Theorem for holomorphic vector fields

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dc.creatorZhang, Guang Yuan
dc.date2005-11-25
dc.date2006-03-31
dc.date.accessioned2026-07-07T06:51:43Z
dc.date.available2026-07-07T06:51:43Z
dc.descriptionWe first generalize a classical iteration formula for one variable holomorphic mappings to a formula for higher dimensional holomorphic mappings. Then, as an application, we give a short and intuitive proof of a classical theorem, due to H. Poincaré, for the condition under which a singularity of a holomorphic vector field is an isochronous center.
dc.description6 pages
dc.identifierhttps://arxiv.org/abs/math/0511622
dc.identifierhttp://arxiv.org/abs/math/0511622
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/105081
dc.subjectDynamical Systems
dc.subjectComplex Variables
dc.subject32H50, 32M25, 37C27
dc.titleFrom an iteration formula to Poincaré's Isochronous Center Theorem for holomorphic vector fields
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