Rational first integrals for periodic systems

DOI10.1007/s00033-010-0111-2zbMath1236.34002OpenAlexW2112494344MaRDI QIDQ638664

Shaoyun Shi, Jia Jiao, Qingjian Zhou

Publication date: 13 September 2011

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-010-0111-2

zbMATH Keywords

integrabilityFloquet theoryfirst integralpartial integrability

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Explicit solutions, first integrals of ordinary differential equations (34A05)

Related Items (1)

Generalized involutive symmetry and its application in integrability of differential systems

Cites Work

• Branching of solutions and the nonexistence of first integrals in Hamiltonian mechanics. II
• On the complete and partial integrability of non-Hamiltonian systems
• Local first integrals of differential systems and diffeomorphisms
• Partial integrability for general nonlinear systems
• On non-integrability of general systems of differential equations
• On the nonexistence of rational first integrals for nonlinear systems and semiquasihomogeneous systems
• The sine-Gordon equations: Complete and partial integrability
• Sur ĽintÉgration algÉbrique des Équations diffÉrentielles du premier ordre et du premier degrÉ
• Ordinary Differential Equations with Applications
• Integrability, partial integrability, and nonintegrability for systems of ordinary differential equations

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