Qualitative analysis of independent systems with first integrals

DOI10.1007/BF00888048zbMath0604.70026MaRDI QIDQ3741129

N. N. Kozhukhovskii

Publication date: 1985

Published in: Soviet Applied Mechanics (Search for Journal in Brave)

zbMATH Keywords

first integralsconstants of motionequilibrium positionsHessian matrixLiapunov stabilityfinite number of degrees of freedomholonomic, autonomous Hamiltonian systems

Mathematics Subject Classification ID

Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Holonomic systems related to the dynamics of a system of particles (70F20)

Cites Work

• Unnamed Item
• Metodi per lo studio della stabilita di sistemi con integrali primi noti
• A perturbation procedure for weakly coupled oscillators
• On the stability of steady motions

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