The vector fields admitting one-parameter spatial symmetry group and their reduction

DOI10.1007/BF02458517zbMath1107.34313OpenAlexW1993569755MaRDI QIDQ1574819

Xiaohua Zhao, Debin Huang

Publication date: 13 August 2000

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02458517

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Symmetries, invariants of ordinary differential equations (34C14) Dynamics induced by flows and semiflows (37C10)

Cites Work

• Lie symmetries of the Lorenz model
• Reduction of symplectic manifolds with symmetry
• On the integrability and perturbation of three-dimensional fluid flows with symmetry
• The Hamiltonian structures of 3D ODE with time-independent invariants
• Topology and mechanics. I
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