On first integrals of groups of complex linear transformations and of natural mechanical systems with a homogeneous potential
DOI10.1023/A:1012955716667zbMath1025.37033OpenAlexW315074831MaRDI QIDQ1810005
Publication date: 15 June 2003
Published in: Mathematical Notes (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1023/a:1012955716667
Hamilton's equations (70H05) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Nonintegrable systems for problems in Hamiltonian and Lagrangian mechanics (70H07) Obstructions to integrability for finite-dimensional Hamiltonian and Lagrangian systems (nonintegrability criteria) (37J30) Motion of a rigid body with a fixed point (70E17)
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