Normal form of perturbations of quasihomogeneous vector fields

DOI10.1016/j.crma.2008.11.013zbMath1161.37037OpenAlexW2056965442MaRDI QIDQ1004542

Laurent Stolovitch, Eric Lombardi

Publication date: 11 March 2009

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2008.11.013

zbMATH Keywords

diophantine conditionquasihomogeneous vector field

Mathematics Subject Classification ID

Normal forms for dynamical systems (37G05)

Related Items (2)

Rigidity of Poisson structures ⋮ Smooth Gevrey normal forms of vector fields near a fixed point

Cites Work

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• Linear grading function and further reduction of normal forms
• Invariant normal forms of formal series
• Polynomial normal forms with exponentially small remainder for analytic vector fields
• On a theorem of Dulac
• An Algebraic Theorem of E. Fischer, and the Holomorphic Goursat Problem

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