Algebraic integrability and generalized symmetries of dynamical systems

DOI10.1016/S0375-9601(99)00531-9zbMath0934.37021MaRDI QIDQ1966963

Yanyan Li

Publication date: 8 March 2000

Published in: Physics Letters. A (Search for Journal in Brave)

zbMATH Keywords

first integralsLiouville vector fieldintegrable dynamical systemsgeneralized symmetry

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items (3)

On the nonexistence of rational first integrals for nonlinear systems and semiquasihomogeneous systems ⋮ Symmetries and first integrals of differential equations ⋮ On the connections between symmetries and conservation rules of dynamical systems

Cites Work

• Lie symmetries of the Lorenz model
• Symmetries, integrating factors and Nambu mechanics.
• Probability density functions, the rate of entropy change and symmetries of dynamical systems.
• Integrability, partial integrability, and nonintegrability for systems of ordinary differential equations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Algebraic integrability and generalized symmetries of dynamical systems