On the Qualitative Analysis of a Family of Differential Equations with First Integrals of Degree More Then 2

DOI10.14529/mmp230204OpenAlexW4388942884MaRDI QIDQ6056850

Tat'yana Nikolaevna Titorenko, Valentin Irtegov

Publication date: 4 October 2023

Published in: Bulletin of the South Ural State University. Series "Mathematical Modelling, Programming and Computer Software" (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vyuru683

zbMATH Keywords

stabilityinvariant setsequations of motioncomputer algebrafirst integralsrigid body

Mathematics Subject Classification ID

Mechanics of particles and systems (70-XX)

Cites Work

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• The invariant manifolds of systems with first integrals
• Invariant manifolds in the Clebsch-Tisserand-Brun problem
• New generalizations of the integrable problems in rigid body dynamics
• New generalizations of all the known integrable problems in rigid-body dynamics
• Computer algebra methods in the study of nonlinear differential systems
• On the qualitative analysis of the equations of motion of a rigid body in a magnetic field

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