Steady motions and relative equilibria of mechanical systems with symmetry

DOI10.1016/S0021-8928(96)00092-5zbMath0948.70524OpenAlexW2072774303MaRDI QIDQ1264762

S. Ya. Stepanov, Aleksandr Karapetyan

Publication date: 26 November 2000

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

Full work available at URL: https://doi.org/10.1016/s0021-8928(96)00092-5

zbMATH Keywords

invariant setsstability conditionsenergy integralNoether integrals\(k\)-parameter group of symmetries

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20)

Related Items (3)

Invariant sets of mechanical systems. ⋮ On stationary motions of an isosceles tetrahedron with a fixed point in the central field of forces ⋮ Unnamed Item

Cites Work

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• Topology and mechanics. II: The planar \(n\)-body problem
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• On stability of motion of nonholonomic systems
• On the Routh theorem and the Chetaev method for constructing the liapunov function from the integrals of the equations of motion

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