Nonexistence of univalued integrals and branching of solutions in solid body dynamics

DOI10.1016/0021-8928(78)90109-0zbMath0444.70019OpenAlexW1963747822MaRDI QIDQ1144968

Valery V. Kozlov

Publication date: 1979

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(78)90109-0

zbMATH Keywords

non-unique solutionsbranching of solutionsfinite-degree-of-freedomnonexistence of univalued integralsPoincare's method of small parameterssolid body dynamics

Mathematics Subject Classification ID

Hamilton's equations (70H05) Celestial mechanics (70F15) Dynamics of a rigid body and of multibody systems (70E99)

Related Items

The Hess-Appelrot system. III: Splitting of separatrices and chaos, First integrals of a generalized Darboux–Halphen system, Self-intersection of the complex separatrices and the nonexistence of the integrals in the Hamiltonian systems with one-and-half degrees of freedom, On the entire and finite valued solutions of the three-body problem, Kovalevskaya's method in rigid body dynamics

Cites Work

• New periodic solutions for the problem of motion of a heavy solid body around a fixed point
• Splitting of separatrices in the perturbed Euler-Poinsot problem
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