Varieties and analytic normalizations of partially integrable systems

DOI10.1016/j.jde.2016.01.009zbMath1357.34072OpenAlexW2251571768MaRDI QIDQ5964039

Zeng-Ji Du, Valery G. Romanovski, Xiang Zhang

Publication date: 26 February 2016

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2016.01.009

zbMATH Keywords

varietyanalytic differential equationsanalytic normalizationcenter on a center manifoldpartial integrability

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Nonlinear ordinary differential equations and systems (34A34)

Related Items (6)

A note on local integrability of differential systems ⋮ A survey on local integrability and its regularity ⋮ Analytic integrability around a nilpotent singularity ⋮ Local integrability of Poincaré-Dulac normal forms ⋮ Generalized involutive symmetry and its application in integrability of differential systems ⋮ Regularity and convergence of local first integrals of analytic differential systems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• First integrals of local analytic differential systems
• Varieties of local integrability of analytic differential systems and their applications
• Generalized Newton-Puiseux expansion and Abhyankar-Moh semigroup theorem
• First integrals and normal forms for germs of analytic vector fields
• Local theory of nonlinear analytic ordinary differential equations
• Analytic integrable systems: analytic normalization and embedding flows
• Analytic normalization of analytic integrable systems and the embedding flows
• Qualitative theory of planar differential systems
• The analytic invariants of an area-preserving mapping near a hyperbolic fixed point
• The Center and Cyclicity Problems

This page was built for publication: Varieties and analytic normalizations of partially integrable systems