Integration of complex differential equations

DOI10.1023/A:1021740700501zbMath0958.34077OpenAlexW2134699557MaRDI QIDQ1972788

Bruno C. Azevedo Scárdua

Publication date: 13 April 2000

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1021740700501

zbMATH Keywords

holonomyholomorphic foliationLiouvillian functionaffine transverse structure

Mathematics Subject Classification ID

Singularities of holomorphic vector fields and foliations (32S65) Ordinary differential equations on complex manifolds (34M45) Dynamical aspects of holomorphic foliations and vector fields (37F75)

Related Items (12)

Integrating factors for groups of formal complex diffeomorphisms ⋮ On transversely holomorphic foliations with homogeneous transverse structure ⋮ Differential algebra and Liouvillian first integrals of foliations ⋮ On complex vector fields having simply-connected orbits ⋮ Integration of complex polynomial differential equations in higher dimension, a first step: Lie transverse structure ⋮ Dynamics and integrability for germs of complex vector fields with singularity in dimension two ⋮ On groups of formal diffeomorphisms of several complex variables ⋮ Singularities of complex vector fields having many closed orbits ⋮ A Darboux-type theorem for germs of holomorphic one-dimensional foliations ⋮ On germs of holomorphic foliations admitting sectorial first integrals ⋮ ONE-DIMENSIONAL LIE FOLIATIONS WITH GENERIC SINGULARITIES IN COMPLEX DIMENSION THREE ⋮ Complex vector fields having orbits with bounded geometry

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