Nonexistence and partial existence of first integrals for diffeomorphisms

DOI10.1016/j.aml.2009.11.006zbMath1186.37027OpenAlexW2068963578MaRDI QIDQ963819

Shaoyun Shi, Fang Liu, Zhi-Guo Xu

Publication date: 14 April 2010

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2009.11.006

zbMATH Keywords

diffeomorphismintegrabilityfirst integralspartial integrability

Mathematics Subject Classification ID

Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Cites Work

• Local first integrals of differential systems and diffeomorphisms
• Partial integrability for general nonlinear systems
• On non-integrability of general systems of differential equations
• Local first integrals for systems of differential equations
• Integrability, partial integrability, and nonintegrability for systems of ordinary differential equations
• Necessary condition for the existence of algebraic first integrals
• Non-integrability for general nonlinear systems

This page was built for publication: Nonexistence and partial existence of first integrals for diffeomorphisms