scientific article; zbMATH DE number 7809186

MaRDI QIDQ6120999

Ognyan Christov

Publication date: 26 February 2024

Full work available at URL: https://www.fmi.uni-sofia.bg/en/node/9819

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

complete integrabilityZiglin-Morales-Ramis theorysystem describing the motion of a rigid body with a particle oscillating in it

Mathematics Subject Classification ID

Hamilton's equations (70H05) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Nonintegrable systems for problems in Hamiltonian and Lagrangian mechanics (70H07) Obstructions to integrability for finite-dimensional Hamiltonian and Lagrangian systems (nonintegrability criteria) (37J30)

Cites Work

• Bifurcation of solutions and the nonexistence of first integrals in Hamiltonian mechanics. I
• Kovacic's algorithm and its application to some families of special functions
• New integrable problems of motion of a rigid body with a particle oscillating or bouncing in it
• Mathematical aspects of classical and celestial mechanics. Transl. from the Russian by E. Khukhro.
• Differential Galois theory and non-integrability of Hamiltonian systems
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item