scientific article

zbMath0602.70023MaRDI QIDQ3738639

Valentin Irtegov

Publication date: 1985

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

zbMATH Keywords

integral of motionLyapunov stabilityinvariant manifoldsbifurcationsresonancesfirst integralsKovalevskaya toppeculiaritiesprinciples of stability theoryRaus-Lyapunov method

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Stability of solutions to ordinary differential equations (34D20) Research exposition (monographs, survey articles) pertaining to mechanics of particles and systems (70-02) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10) Research exposition (monographs, survey articles) pertaining to ordinary differential equations (34-02)

Related Items (13)

On one approach to the qualitative analysis of nonlinear dynamical systems ⋮ Computer algebra and investigation of invariant manifolds of mechanical systems ⋮ The invariant manifolds of systems with first integrals ⋮ Invariant manifolds in the Clebsch-Tisserand-Brun problem ⋮ Jacobi method and the eikonal equation ⋮ Specific features of families of invariant manifolds of conservative systems ⋮ Invariant sets of evolution equations ⋮ On invariant sets for the equations of motion of a rigid body in the Hess-Appelrot case ⋮ Steady motions and integral manifolds of systems with quadratic integrals ⋮ Using the system ``Mathematica in problems of mechanics. ⋮ Algorithms for qualitative analysis of complex systems ⋮ On Invariant Manifolds of Dynamical Systems in Lie Algebras ⋮ Submanifolds of invariant manifolds of stationary motions and their properties

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